Advances in Systems Science and Applications
type: channel
description: Advances in Systems Science and Applications (ASSA) is an international peer-reviewed open-source online academic journal. Its scope covers all major aspects of systems (and processes) analysis, modeling, simulation, and control, ranging from theoretical and methodological developments to a large variety of application areas. Survey articles and innovative results are also welcome. ASSA is aimed at the audience of scientists, engineers and researchers working in the framework of these problems. ASSA should be a platform on which researchers will be able to communicate and discuss both their specialized issues and interdisciplinary problems of systems analysis and its applications in science and industry, including data science, artificial intelligence, material science, manufacturing, transportation, power and energy, ecology, corporate management, public governance, finance, and many others.
publisher: International Institute for General Systems Studies, Pennsylvania, USA
language: en
publication name: Advances in Systems Science and Applications
issn: 1078-6236
items: The Sturm–Liouville Operator with Rapidly Growing Potential and the Asymptotics of its Spectrum
items: Climate-Dependent Malaria Model with Delay in Mosquito Dynamics
items: Rothe Time-Semidiscretization for Doubly Nonlinear ParabolicProblems in Musielak–Orlicz–Sobolev Spaces
items: Assessing the Consistency of National Projects: How Target Achievement Could Transform Russia’s Quality of Life Ranking
items: A Method for Analyzing Causal Relationships to Ensure the Reliability and Safety of Complex Human-Machine Systems
items: Vector Fields with Non-Isolated Singular Points Viewed from the Inside and Outside
items: Multiple Capture of Coordinated Evaders in the Linear GroupPursuit Problem with a Simple Matrix and Phase Restrictions
items: On Linear Differential Equations on the Torus and Non-Standard Analysis
items: Legendre Transformation and Its Applications
items: A Word-Oriented Substitution–Permutation Network Cipher with Security Evaluation based on Active S-Box Bounds and a Dynamic Advanced Encryption Standard-Based Variant
items: Multiple Capture of Coordinated Evaders in the Linear Group Pursuit Problemwith a Simple Matrix and Phase Restrictions
items: The Methods for Aviation Systems’ Safety Analysis during Combinations of Dangerous Heterogeneous Events Including Human Factor
items: Optimization of Multi-Currency Deposit Structure by Two Indicators (Income and Risk) under Uncertainty
items: Grading Structure for Derivations of Group Algebras
items: Ensuring the Sustainability of Health Care Management Expert Support and Decision Making in Modern Conditions
items: Stability Criteria for Periodic Selector-Linear Difference Inclusions
items: A Cauchy Problem for Functional Inclusions with Causal Operators in Banach Spaces
items: Goal Inversion in Multi-Criteria Decision Making Problems
items: The Multivalued Solutions of the Cauchy Problem for One Quasilinear System
items: Does Political Instability Affect on Business Efficiency of Russian Firms?
items: Adaptive Disturbance Rejection Control of 2D Crane Based on DREM with Instrumental Variables
items: On the External Estimation of the Limit Reachable Set for the Linear Discrete-Time System Based on Support Hyperplanes
items: Analysis of the Thermal Behavior of a Workspace in the Adrar Region
items: The Problem of Dynamic Regulation of Train Formation on a Marshalling Yard
items: Hybrid Computation Approach for Performance Evaluation of Broadband Wireless Networks based on Tethered High-Altitude Unmanned Platforms
items: On the Compatibility of Metric and Linear Order
items: A Method for Analyzing the Complexity and Safety of the Movement of Controlled Objects along Specified Routes
items: Estimating the Unmeasured Output of Nonlinear SISO System under Uncertainty
items: Emerging Perspectives on Multiband Fractaland Hybrid Fractal Antennas for Wireless Applications: A Comprehensive Analysis
items: Analysis of Ring Laser Gyroscope Cavity Thermal deformations

The Sturm–Liouville Operator with Rapidly Growing Potential and the Asymptotics of its Spectrum
type: item
description: In this paper, we study the asymptotic behavior of the discrete spectrum of the Sturm–Liouville operator given on the positive real semiline by the expression $-y′′ +q(x)y$ and the zero boundary condition $y(0) \cos{\alpha} + y'(0) \sin{\alpha} = 0$, for rapidly growing potentials $q(x)$. The asymptotics of the eigenvalues of the operator for the classes of potentials are obtained, which characterize the rate of their growth at infinity.
subject: Articles
  topic: section
subject: differential operator
  topic: keywords
subject: spectrum
  topic: keywords
subject: asymptotics
  topic: keywords
creator: Alisa Kachkina
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-11-10
publication date: 2025-11-10
starting page: 96
ending page: 108
doi: 10.25728/assa.2025.25.3.2082

Climate-Dependent Malaria Model with Delay in Mosquito Dynamics
type: item
description: Climate variability plays a crucial role in understanding malaria transmission dynamics, particularly through its influence on mosquito population and the parasite’s developmental processes. Although temperature and rainfall have long been recognized as major climatic drivers of malaria spread, and hence most of the malaria models often overlook the combined effects of temperature-dependent aquatic-stage development and variation in the extrinsic incubation period of the parasite. This study develops a new temperature-dependent malaria transmission model that incorporates mosquito maturation delays, short- and long-term EIP routes, and an explicit aquatic-stage compartment. The model extends earlier frameworks by integrating nonlinear temperature relationships for key mosquito life-history traits and by distinguishing between short and long incubation processes through probabilistic weighting. This structure provides a more realistic representation of how climatic fluctuations regulate mosquito abundance, survival, and infectiousness. The resulting model enhances predictive accuracy in understanding malaria seasonality and transmission potential across varying environmental conditions. Numerical simulations demonstrate how temperature shifts alter the timing and intensity of outbreaks, highlighting the importance of climate-sensitive modelling for malaria surveillance and guiding adaptive vector control strategies. The proposed framework contributes to the refinement of climate-based malaria prediction tools and supports evidence-driven public health decision-making in endemic regions.
subject: Articles
  topic: section
subject: Incubation period, Malaria transmission, Maturation delay, Mosquito dynamics, Sensitivity analysis, Temperature
  topic: keywords
creator: Babagana Modu
creator: Savas Konur
creator: Polovina Nereida
creator: A. Taufiq Asyhari
creator: Yonghong Peng
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 54
ending page: 69
doi: 10.25728/assa.2025.25.4.2079

Rothe Time-Semidiscretization for Doubly Nonlinear ParabolicProblems in Musielak–Orlicz–Sobolev Spaces
type: item
description: This paper establishes the existence of an entropy solution for a doubly nonlinear parabolic problem set within the framework of Musielak-Orlicz-Sobolev spaces, without imposing the $\Delta_2$ condition. The problem involves a Leray-Lions operator and a general Lipschitz, strictly increasing nonlinearity in the time derivative term, with $L^1$ source data. Our approach employs Rothe's time-semidiscretization method, reducing the evolution problem to a sequence of elliptic entropy subproblems at discrete time steps. We derive uniform a priori estimates in the modular topology associated with the Musielak-Orlicz function, which remain valid in the absence of the $\Delta_2$ assumption. Using these estimates, we prove compactness for the Rothe sequence in $W^{1,x}_0 L_\Psi(Q_T)$ and in $C([0,T]; L^1(\Omega))$. The limit is then identified via monotonicity techniques, confirming that it satisfies the entropy formulation of the original problem. This work unifies and extends previous existence results from standard Sobolev, variable-exponent, and Orlicz-Sobolev settings to the fully Musielak-Orlicz case with general nonlinearities and low-regularity data.
subject: Articles
  topic: section
subject: Musielak-Orlicz spaces
  topic: keywords
subject: parabolic equations
  topic: keywords
subject: entropy solution
  topic: keywords
creator: Lakbir Essafi
creator: Moulay Abdellah Faqihi
creator: Mohamed Mabdaoui
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-11-30
publication date: 2025-11-30
starting page: 109
ending page: 125
doi: 10.25728/assa.2025.25.3.2078

Assessing the Consistency of National Projects: How Target Achievement Could Transform Russia’s Quality of Life Ranking
type: item
description: This study assesses the potential impact of Russia’s National Projects on the country’s global standing by integrating S.A. Aivazyan’s Quality of Life Index (QLI) with State-Space dynamic modelling. Using a panel of 14 socioeconomic indicators (2000–2022), we simulate Russia’s quality of life trajectory through 2036 under baseline and target-achievement scenarios. The analysis demonstrates that achieving government targets for life expectancy, fertility, infant mortality, and income inequality is statistically consistent with structural trends and would raise Russia’s global rank by 11 positions. These findings validate the internal consistency of Russia’s strategic planning goals and confirm the QLI’s utility as a tool for public administration effectiveness.
subject: Articles
  topic: section
subject: National Projects
  topic: keywords
subject: State Space Model
  topic: keywords
subject: Demographic Indicators
  topic: keywords
subject: Quality of Life Index
  topic: keywords
creator: Aleksei Kurbatskii
creator: Daniil Kolpakov
creator: Elena Kosheleva
creator: Marina Mironenkova
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2026-01-10
publication date: 2026-01-10
starting page: 44
ending page: 53
doi: 10.25728/assa.2025.25.4.2073

A Method for Analyzing Causal Relationships to Ensure the Reliability and Safety of Complex Human-Machine Systems
type: item
description: The article presents a method for analyzing causal relationships aimed at ensuring the reliability and safety of complex human-machine systems (HMS). The developed approach combines system decomposition with modeling of dynamic interactions, considering the influence of human, technical, and organizational factors. A model based on Markov processes with variable transition intensities dependent on subsystem states is proposed, which allows for identifying cascade failures and reducing the dimensionality of tasks without loss of informativeness. In the literature review, we performed an analysis of modern methods, including dynamic Bayesian networks, fuzzy cognitive maps with genetic tuning, and system-theoretic process analysis. The effectiveness of hybrid algorithms in identifying critical risks is demonstrated. As a result, we have conducted numerical experiments on aviation systems, such as Airbus A-320, Bombardier CRJ-200, Boeing 747, and Sukhoi Superjet 100 (RRJ-95). These experiments illustrate the calculation of stationary state probabilities and risk dynamics. Conclusions are formulated regarding the methodological flexibility of the approach, its advantages in overcoming the “curse of dimensionality,” and prospects for application in other industries.
subject: Articles
  topic: section
subject: human-machine systems
  topic: keywords
subject: causal relationships
  topic: keywords
subject: reliability
  topic: keywords
subject: safety
  topic: keywords
subject: Markov processes
  topic: keywords
subject: decomposition
  topic: keywords
subject: cascade failures
  topic: keywords
creator: Leonid Filimonyuk
creator: Egor Zavialov
creator: Aleksandr Baklashov
creator: Denis Bobrov
creator: Arseniy Markelov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2026-01-10
publication date: 2026-01-10
starting page: 29
ending page: 43
doi: 10.25728/assa.2025.25.4.2069

Vector Fields with Non-Isolated Singular Points Viewed from the Inside and Outside
type: item
description: We present a brief survey of recent results about vector fields with non-isolated singular points and their applications. One of the most interesting and promising application is connected with quasi-linear differential equations of the second order, including the equation of geodesics in signature varying (pseudo-Riemannian) metrics.
subject: Articles
  topic: section
subject: vector fields
  topic: keywords
subject: singular points
  topic: keywords
subject: center manifold
  topic: keywords
subject: normal forms
  topic: keywords
subject: resonances
  topic: keywords
creator: Natalia Pavlova
creator: Alexey Remizov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 92
ending page: 104
doi: 10.25728/assa.2025.2025.2.2051

Multiple Capture of Coordinated Evaders in the Linear GroupPursuit Problem with a Simple Matrix and Phase Restrictions
type: item
description: In a finite-dimensional Euclidean space, the pursuit problem of two evaders by a group of pursuers with equal opportunities for all players is considered. The motion of each participant is described by a linear system of differential equations with a simple matrix. It is assumed that the evaders use the same control and do not move out of a convex polyhedral set. The pursuers use counterstrategies based on information about the initial positions and the prehistory of the evaders' control. The set of admissible controls $V$ is a sphere of unit radius with its center at the origin, and the goal sets are the origin. The goal of the group of pursuers is the capture of at least one evader by a given number of pursuers. In terms of the initial positions and parameters of the game, a sufficient condition for capture is obtained. The method of resolving functions, which is used as a basis for analysis, provides sufficient conditions for solvability of the problem of pursuit in some guaranteed time.
subject: Articles
  topic: section
subject: differential games, pursuer, evader, capture, multiple capture, conflict-controlled processes
  topic: keywords
creator: Nikolai Petrov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-11-30
publication date: 2025-11-30
starting page: 126
ending page: 138
doi: 10.25728/assa.2025.25.3.2049

On Linear Differential Equations on the Torus and Non-Standard Analysis
type: item
description: In this paper, we consider periodic boundary value problems for differential equations whose coefficients are trigonometric polynomials. We construct the spaces of generalized functions, where such problems have solutions. In particular, the solvability space of a periodic analogue of the Mizohata equation is constructed. We build also a periodic analogue and a generalization of the construction of the nonstandard analysis, where infinitely small are not only functions, but also functional spaces. To show that not all constructions on the torus lead to a simplification in compare with the plane, we consider a periodic analogue of the hypoelliptic differential operator and show that its number-theoretic properties are significant. In particular, it turns out that if a polynomial with integer coefficients is irreducible in the rational field, then the corresponding differential operator is hypoelliptic on the torus.
subject: Articles
  topic: section
subject: differential operator on the torus, linear differential equation on the torus, Mizohata equation, nonstandard analysis, hypoellipticity
  topic: keywords
creator: Vladimir P. Burskii
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-08-24
publication date: 2025-08-24
starting page: 12
ending page: 21
doi: 10.25728/assa.2025.2025.1.2040

Legendre Transformation and Its Applications
type: item
description: We present the Legendre transformation in a geometric way based on the procedure of the Legendrian lift. This approach allows us to understand some interesting properties of it, in particular, the reason for the appearance of singularities of dual curves. Also we consider application of the Legendre transformation to the Clairaut differential equation. Finally, we say a few words class of contact transformations and present an infinite group of contact transformations different from the Legendre transformation.
subject: Articles
  topic: section
subject: Legendre transformation, duality, contact transformation, contact structure, pedal curve, singular point, Clairaut equation
  topic: keywords
creator: Natalia Pavlova
creator: Alexey Remizov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-08-24
publication date: 2025-08-24
starting page: 44
ending page: 54
doi: 10.25728/assa.2025.2025.1.2042

A Word-Oriented Substitution–Permutation Network Cipher with Security Evaluation based on Active S-Box Bounds and a Dynamic Advanced Encryption Standard-Based Variant
type: item
description: The Substitution–Permutation Network (SPN) serves as a foundational structure in the design of modern block cipher algorithms due to its effective realization of two essential properties: confusion and diffusion. Currently, the security of SPNs is actively studied, with the S-box structure and the diffusion layer being key components analyzed to enhance resistance against attacks. In this paper, we propose a generalized SPN-based cipher model inspired by the AES structure. We then present a novel theoretical approach to evaluating the security of this SPN cipher, based on a lower bound of the number of active S-boxes. This forms the basis for identifying the roles and cryptographic properties required of the component transformations in this type of cipher. Next, we propose a dynamic block cipher algorithm based on the AES cipher, which not only ensures the required level of security but also inherits the implementation advantages of the original AES. The dynamic AES block cipher demonstrates higher security compared to the original AES, passes randomness evaluation standards, and is efficiently implementable. These results are significant in guiding the design of secure and flexible block cipher algorithms, while also providing a theoretical foundation for the selection and evaluation of secure cryptographic components in modern cryptosystems.
subject: Articles
  topic: section
subject: Dynamic block cipher
  topic: keywords
subject: active S-box
  topic: keywords
subject: SPN block cipher
  topic: keywords
subject: AES
  topic: keywords
creator: Nguyen Van Long
creator: Tran Thi Luong
creator: Nguyen Bui Cuong
creator: Truong Minh Phuong
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-11-10
publication date: 2025-11-10
starting page: 74
ending page: 95
doi: 10.25728/assa.2025.25.3.2041

Multiple Capture of Coordinated Evaders in the Linear Group Pursuit Problemwith a Simple Matrix and Phase Restrictions
type: item
description: In finite-dimensional Euclidean space, an analysis is made of the problem of pursuit of two evaders by a group of pursuers, which is described by a system of the form $$ \dot z_{ij} = \alpha z_{ij}+ u_i - v,\ u_i, v \in V. $$ It is assumed that the evaders use the same control and do not move out of a convex polyhedral set. The pursuers use counterstrategies based on information about the initial positions and the prehistory of the evaders' control. The set of admissible controls $V$ is a sphere of unit radius with its center at the origin, and the goal sets are the origin. The goal of the group of pursuers is the capture of at least one evader by a given number of pursuers. In terms of the initial positions and parameters of the game, a sufficient condition for capture is obtained. The method of resolving functions, which is used as a basis for analysis, provides sufficient conditions for solvability of the problem of pursuit in some guaranteed time.
subject: Articles
  topic: section
subject: differential games, pursuer, evader, capture, multiple capture, conflict-controlled processes
  topic: keywords
creator: Nikolai Petrov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-08-24
publication date: 2025-08-24
starting page: 86
ending page: 98
doi: 10.25728/assa.2025.2025.1.2033

The Methods for Aviation Systems’ Safety Analysis during Combinations of Dangerous Heterogeneous Events Including Human Factor
type: item
description: This study presents a probabilistic method for assessing the safety and reliability of aviation systems based on modeling transitions between functional and failed elementary states. The analysis includes five core components of the aircraft system: crew, engines, avionics, power supply, and structural elements. Using failure and recovery flow intensities derived from realworld data for various aircraft types in 2022, the authors construct a system of differential equations to calculate dynamic safety indicators. The method applies state-transition graphs and formal mathematical models to describe the system’s behavior under different conditions. Particular attention is given to the non-technical elementary state representing crew condition, with a refined classification of critical human factor events such as specific headache types. The study performs calculations in MATLAB and provides comparative safety assessments for multiple aircraft models, such as Airbus (A-319 and A-320), Bombardier CRJ200, Boeing (737, 747 and 777), Sukhoi Superjet 100 (RRJ-95) and An-26B-100.
subject: Articles
  topic: section
subject: Aviation safety
  topic: keywords
subject: probabilistic modeling
  topic: keywords
subject: system reliability
  topic: keywords
subject: failure intensity
  topic: keywords
subject: recovery intensity
  topic: keywords
subject: state-transition graph
  topic: keywords
subject: human factor
  topic: keywords
subject: aircraft systems
  topic: keywords
subject: mathematical modeling
  topic: keywords
subject: flight risk assessment
  topic: keywords
subject: headaches
  topic: keywords
creator: Leonid Filimonyuk
creator: Denis Bobrov
creator: Egor Zavialov
creator: Aleksandr Baklashov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-08-24
publication date: 2025-08-24
starting page: 99
ending page: 107
doi: 10.25728/assa.2025.2025.1.2032

Optimization of Multi-Currency Deposit Structure by Two Indicators (Income and Risk) under Uncertainty
type: item
description: A two-criteria vector optimization problem – finding Pareto-optimal solutions in linear systems with interval uncertainty of coefficients – is considered. The problem of resource allocation to multiple activities is investigated. The uncertainty-adjusted income is a bilinear function, linear by strategy under fixed uncertainty and by uncertain parameters under fixed strategy. Guaranteed income is a linear function of variables and guaranteed risk is a piecewise linear function. Finding the optimal guaranteed risk is reduced to a linear programming problem by piecewise linear programming methods. To solve the two-criteria problem of the optimal allocation of financial resource on three currency deposits, the parameterization of the Pareto set by the value of the guaranteed income criterion is applied. Thus, the construction of a representative subset of Pareto-optimal solutions is reduced to solving a finite number of linear programming problems. The results can be used in analyzing the problems of financial management under conditions of incomplete information.
subject: Articles
  topic: section
subject: deposit diversification, bicriteria optimization, incomplete information, minimax regret solution
  topic: keywords
creator: Vitaly Molostvov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-04-01
publication date: 2025-04-01
starting page: 1
ending page: 11
doi: 10.25728/assa.2025.2025.1.2030

Grading Structure for Derivations of Group Algebras
type: item
description: In this paper we give a way of equipping the derivation algebra of a group algebra with the structure of a graded algebra. The derived group is used as the grading group. For the proof, the identification of the derivation with the characters of the adjoint action groupoid is used. These results also allow us to obtain the analogous structure of a graded algebra for outer derivations. A non-trivial graduation is obtained for all groups that are not perfect.
subject: Articles
  topic: section
subject: derivations, bimodule, outer derivations
  topic: keywords
subject: graded algebras
  topic: keywords
creator: Andronick Arutyunov
creator: Igor Zhiltsov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-08-24
publication date: 2025-08-24
starting page: 108
ending page: 119
doi: 10.25728/assa.2025.2025.1.2028

Ensuring the Sustainability of Health Care Management Expert Support and Decision Making in Modern Conditions
type: item
description: Current technological and environmental changes requiring new approaches for healthcare data generation and assessment as well as decision-making support. The analysis performed using Delphi method indicated that sustainability of healthcare decision-making by using a number of approaches based on existing opportunities for proactive risk-based assessment of population health and healthcare interventions. Non-numerical qualitative expert opinions are of the same value as quantitive data while the balance between them and the methodology of mutual transformation form an integrated evidence-based support for the sustainable data generation and healthcare decision-making. Qualitative expert opinions make it also possible to decrease the asymmetry and lack of quantitative data between model studies on animals and the characteristics of the human body. The balance between qualitative expert assessment and the digital evidence changes during the lifecycle of the intervention or possibly process (like pandemic). Sustainability of healthcare decision-making in changing environment depends on availability and methods of qualitative expert support. Currently, there are no generally accepted methods for the final qualitative expert assessment, which makes it possible to reduce the diversity of interdisciplinary big data to a transparent and understandable assessment and these methodology and methods are to be developed. Automated systems for early detection of emergent cases based on medical statistics data are also of great importance and capable increasing sustainability of healthcare management and this information should be linked to pre-prepared action plans to avoid COVID-19 lessons in future.
subject: Articles
  topic: section
subject: sustainability, healthcare management, decision-making, expert support, public health emergencies, COVID-19 lessons, data generation, quantitative data, qualitative data, proactive, risk-based.
  topic: keywords
creator: Dmitry Meshkov
creator: Sergey Cherkasov
creator: Alexey Lobanov
creator: Anna Dzebisashvili
creator: Polina Lysova
creator: Viktor Glebov
creator: Yana Matkovskaya
creator: Yuri Sidelnikov
creator: Anatoly Mikhalsky
creator: Dmitry Stefanocvsky
creator: Taisia Dozortseva
creator: Olga Rodionova
creator: Elena Makeeva
creator: Ludeña Moreira Genesis Marley
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 81
ending page: 91
doi: 10.25728/assa.2025.2025.2.2021

Stability Criteria for Periodic Selector-Linear Difference Inclusions
type: item
description: The paper considers periodic selector-linear difference inclusions. Lyapunov functions from a parametric class of homogeneous forms of even degree are constructed. These functions establish necessary and sufficient conditions of asymptotic stability and can be used in the development of numerical methods for investigating the stability of the systems equivalent to the considered difference inclusions. Using piecewise linear Lyapunov functions, an algebraic criterion of asymptotic stability of the considered inclusions is obtained. An example of a mechanical system leading to periodic selector-linear difference inclusion is considered.
subject: Articles
  topic: section
subject: periodic selector-linear inclusions
  topic: keywords
subject: asymptotic stability
  topic: keywords
subject: Lyapunov functions
  topic: keywords
subject: algebraic criterion of asymptotic stability
  topic: keywords
creator: Mikhail Morozov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 75
ending page: 80
doi: 10.25728/assa.2025.2025.2.2018

A Cauchy Problem for Functional Inclusions with Causal Operators in Banach Spaces
type: item
description: In this paper, we consider the Cauchy problem for functional inclusions containing the sum of n causal single-valued operators and a multivalued causal operator in Banach spaces. The peculiarity of single-valued operators is that, starting from the second term, each operator is represented by an integral with a variable upper limit of the previous term. Such functional inclusions generalize the Cauchy problem for semilinear differential equations and inclusions of arbitrary order n, as well as a Cauchy-type problem in the case of inclusions and equations of fractional order not exceeding n. To solve the problem, we will apply the theory of topological degree for multivalued condensing mappings. To prove the existence of a solution, we will construct a resolving multivalued operator in the space of continuous functions corresponding to the problem. Based on the properties of the resolving operator, we will prove a theorem on the existence of solutions to this problem.
subject: Articles
  topic: section
subject: causal multioperator, functional inclusion, Cauchy type problem, differential inclusion, fractional derivative, measure of non-compactness, fixed point, topological degree, condensing multioperator
  topic: keywords
creator: Garik Petrosyan
creator: Maria Soroka
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 58
ending page: 74
doi: 10.25728/assa.2025.2025.2.2009

Goal Inversion in Multi-Criteria Decision Making Problems
type: item
description: Within the framework of multi-criteria decision making (MCDM) problems, a comprehensive analysis of procedures for the consistent normalization of benefit and cost attributes was conducted. Rank-based methods for solving multi criteria decision making (MCDM) problems boil down to criteria convolution, which predetermines the transformation of all criteria to either the maximum or minimum value of the objective function using an inversion procedure. Criteria convolution is performed only for normalized data, so the inversion procedure must be consistent with the normalization procedure. It is shown that thousands of studies in MCDM using nonlinear inversion of cost attributes based on the 1/x transformation should be recognized as inaccurate. The argument is quite simple: distortion of the original data. This study explains what the error is. Nonlinear data inversion leads to a violation of mutual distances in the original data, the measurement scales of various attributes are not consistent and there is a shift in the areas of normalized values. Also, nonlinear inversion does not have a reasonable interpretation of values. The solution to the above problems is achieved by using the reverse sorting (ReS) algorithm. The ReS algorithm is a linear transformation and preserves the original information about the object: the location of attribute values, preserves the mutual location of the domains of various attributes and can be applied to both original and normalized data sets. The ReS algorithm is recommended for use in the inversion of values when coordinating the optimization goals of a multi-criteria problem.
subject: Articles
  topic: section
subject: MCDM
  topic: keywords
subject: normalization of multivariate data
  topic: keywords
subject: coordination of scale
  topic: keywords
subject: non-linear inversion
  topic: keywords
subject: Reverse Sorting algorithm (ReS)
  topic: keywords
creator: Irik Mukhametzyanov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2026-01-10
publication date: 2026-01-10
starting page: 18
ending page: 28
doi: 10.25728/assa.2025.25.4.1995

The Multivalued Solutions of the Cauchy Problem for One Quasilinear System
type: item
description: The article proposes a generalization of the method of characteristics to quasilinear systems of evolutionary equations with one spatial variable. Such systems are a special case of hydrodynamic type systems. It is shown that in some cases self-intersection of solution graphs is possible. An example of a system of two equations is considered in detail.
subject: Articles
  topic: section
subject: Hydrodynamic type systems, multivalued solutions, jet spaces, caustics, selfintersection, Cauchy problem
  topic: keywords
creator: Elena N. Kushner
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 51
ending page: 57
doi: 10.25728/assa.2025.2025.2.1986

Does Political Instability Affect on Business Efficiency of Russian Firms?
type: item
description: This study delves into the impact of political instability on the business efficiency (proxied by growth rate of ROA) of 3,706 Russian firms for the period 2019-2022. The aim of the study is to reveal the impact of governance quality on the managerial efficiency of Russian companies during recent years with a particular concern of the on-going political instability: the Russia-Ukraine conflict. The results from the binary probit regression analysis allow us to substantiate that the probability of ROA growth and governance quality are inversely related in the recent years. However, when the governance indicators are interacted with the year dummy 2022, its effect becomes positive on the probability of growth of ROA. This implies that due to the ongoing Russia-Ukraine conflict the improved governance quality starts to exert impacts on the business efficiency of Russian firms. The overall impact of governance indicators is stronger for SMEs than for large companies in Russia, indicating that large companies have better capacity to withstand external shocks and instabilities than SMEs.
subject: Articles
  topic: section
creator: Han-Sol Lee
creator: Aleksei Kurbatskii
creator: Nikita Artamonov
rights: Copyright (c) 2024 Advances in Systems Science and Applications
date: 2025-02-13
publication date: 2025-02-13
starting page: 11
ending page: 30
doi: 10.25728/assa.2024.2024.03.1984

Adaptive Disturbance Rejection Control of 2D Crane Based on DREM with Instrumental Variables
type: item
description: A problem of control of uncertain 2D overhead crane affected by disturbances with unknown model is considered. An adaptive controller is proposed to solve the above-mentioned problem, which main salient feature is that it ensures asymptotic convergence of errors for both trolley position and payload swing angle not to a bounded set, but to zero without requirement of it a priori knowledge on bounds of the system parameters and disturbance. First of all, the crane is represented in the feedback linearizable form via coordinate transformations under mild assumptions. Then such representation is parameterized in the form of perturbed linear regression equation, which parameters are exactly identified via application of procedure, which has been recently proposed by the authors and is based on the dynamic regressor extension and mixing method and instrumental variables approach. Obtained parameters estimates are substituted into derived ideal control law, and asymptotic stability of the proposed adaptive control system is rigorously proved. All theoretical results are validated via numerical experiments.
subject: Articles
  topic: section
subject: 2D crane
  topic: keywords
subject: parameter uncertainty
  topic: keywords
subject: asymptotic stability
  topic: keywords
subject: dynamic regressor extension and mixing
  topic: keywords
subject: instrumental variables
  topic: keywords
creator: Vladislav Petrov
creator: Anton Glushchenko
creator: Konstantin Lastochkin
rights: Copyright (c) 2024 Advances in Systems Science and Applications
date: 2024-12-31
publication date: 2024-12-31
starting page: 82
ending page: 93
doi: 10.25728/assa.2024.2024.4.1971

On the External Estimation of the Limit Reachable Set for the Linear Discrete-Time System Based on Support Hyperplanes
type: item
description: A linear discrete-time system with geometric constraints on control is considered. For the given system, the problem of constructing the limit reachable set is solved. It is proven that it is a cylinder oriented along certain elements of the real Jordan basis. Statements about the structure of the supporting hyperplane to the convex section of this cylinder are formulated and proven. Necessary and sufficient conditions for the boundedness of the limit reachable set are determined.
subject: Articles
  topic: section
subject: discrete-time system, limit reachable set, support hyperplane, convex set, polyhedral approximation
  topic: keywords
creator: Anastasiya Simkina
rights: Copyright (c) 2024 Advances in Systems Science and Applications
date: 2024-12-31
publication date: 2024-12-31
starting page: 66
ending page: 81
doi: 10.25728/assa.2024.2024.4.1970

Analysis of the Thermal Behavior of a Workspace in the Adrar Region
type: item
description: This study presents an experimental and numerical investigation of the thermal behavior of a workplace located in the Adrar region. Temperature variations within the building were analyzed through a detailed modeling approach and validated using data collected during a 20-day experimental campaign conducted in May 2024. All modes of heat transfer were considered, and energy balance equations were formulated for each structural material. The resulting system of equations was solved using an implicit finite-difference scheme combined with the Gauss algorithm and an iterative procedure, accounting for the dependence of convective and radiative heat-transfer coefficients on the surrounding temperatures. Numerical results indicate that the thermal conductivity of the heavy concrete bricks, together with the local climatic conditions, significantly contributes to indoor temperature increases. Comparison of numerical predictions with experimental measurements for two representative days (May 10 and May 18, 2024) demonstrated excellent agreement, with errors not exceeding 4%. The findings provide insights into the thermal performance of public buildings in the Adrar region and offer a reliable numerical tool for engineers to select appropriate construction materials. The study also highlights that modern building materials, when used without adequate thermal insulation, can lead to excessive indoor temperatures and uncontrolled energy consumption in this desert environment.
subject: Articles
  topic: section
subject: Habitable construction
  topic: keywords
subject: Thermal behavior
  topic: keywords
subject: Workplace
  topic: keywords
subject: Heat convection
  topic: keywords
subject: Thermal conductivity
  topic: keywords
subject: Building materials
  topic: keywords
subject: Desert areas
  topic: keywords
subject: Internal temperature
  topic: keywords
creator: Oudrane Abdellatif
creator: Benaoumeur Aour
creator: Abdelmalek Bada
creator: Abdelhamid Kheiri
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-11-10
publication date: 2025-11-10
starting page: 52
ending page: 73
doi: 10.25728/assa.2025.25.3.1969

The Problem of Dynamic Regulation of Train Formation on a Marshalling Yard
type: item
description: The problem of dynamic freight trains formation at a railway station is considered. This problem is part of a two-step strategy to create a dynamic train formation plan. It is assumed that technical routes of all cars and the predicted arrival time of new groups of cars at the station are known. The problem is to determine the set of cars and the departure time of each train formed at this station, taking into account the availability of locomotives and restrictions on the length of trains. The goal is to minimise the total waiting time for cars at the station. Mathematical models for different versions of the problem are presented as an integer and a mixed integer linear programming problems. Results of computational experiments allow to estimate the influence of the amount of information about arriving trains to the station on the value of the objective function.
subject: Articles
  topic: section
subject: train formation
  topic: keywords
subject: integer linear programming
  topic: keywords
subject: daily planning
  topic: keywords
creator: Elena Musatova
creator: Alexander Lazarev
creator: Alexander Osminin
creator: Alexey Baushev
rights: Copyright (c) 2024 Advances in Systems Science and Applications
date: 2024-11-30
publication date: 2024-11-30
starting page: 31
ending page: 42
doi: 10.25728/assa.2024.2024.03.1967

Hybrid Computation Approach for Performance Evaluation of Broadband Wireless Networks based on Tethered High-Altitude Unmanned Platforms
type: item
description: This paper discusses the advantages of implementation of a broadband wireless network based on a tethered drone, and describes a novel hybrid approach based on a combination of analytical modeling, simulation and machine learning to the computation of its performance characteristics. The paper presents the calculation results for the increase in the telecommunications coverage area (line-of-sight zone) and the parameters of the communication channel between the base station (BS) located on the drone and the ground station (GS) within line-of-sight. A stochastic polling model with batch packet servicing is proposed to evaluate the network performance. A description is given of the interaction protocol between the BS and the GS for obtaining initial data for carrying out numerical calculations.
subject: Articles
  topic: section
subject: hybrid computation approach
  topic: keywords
subject: combination of simulation and ML methods
  topic: keywords
subject: tethered drone
  topic: keywords
subject: wireless network
  topic: keywords
subject: stochastic polling
  topic: keywords
creator: Vladimir Vishnevsky
creator: Dmitry Kozyrev
creator: Yurii Avramenko
creator: Nikita Kalmykov
creator: Mikhail Lashin
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2026-01-10
publication date: 2026-01-10
starting page: 8
ending page: 17
doi: 10.25728/assa.2025.25.4.1964

On the Compatibility of Metric and Linear Order
type: item
description: There is a classic question of introducing some reasonable order on the real plane R2. We consider this problem through the prism of the relation between metric proximity and linear order proximity, introducing a way to determine the compatibility relation between metric and linearly ordered spaces, and study the basic properties of this connection. For R and its metric subspaces, the order on the line is compatible with the metric according to the definition we introduce. It turns out that for Rn for n > 1, as well as for other similar metric spaces in which there is a subspace isometric to an open ball in Rn, it is impossible to introduce an order that is compatible with the metric. At the same time, we also introduce a family of spaces called discrete curved lines, which are not generally isometric to the subspaces of R, but for which it is possible to introduce a linear order compatible with the natural metric on them. For them we prove sufficient conditions for the compatibility of the metric with the order. Using them, we construct spaces with non-trivial properties in which the order is compatible with the metric. In particular, we show that although on all of Rn no order is compatible with the metric, in any normed space one can introduce non-trivial metric subspaces compatible with some order (in the case of infinite-dimensional normed spaces, this subspace can be constructed to be non-embeddable in any finite-dimensional subspace).
subject: Articles
  topic: section
subject: ordered metric spaces
  topic: keywords
subject: metric spaces
  topic: keywords
subject: linear order
  topic: keywords
creator: Petr Klimov
creator: Richik Sengupta
rights: Copyright (c) 2024 Advances in Systems Science and Applications
date: 2025-02-13
publication date: 2025-02-13
starting page: 1
ending page: 10
doi: 10.25728/assa.2024.2024.03.1958

A Method for Analyzing the Complexity and Safety of the Movement of Controlled Objects along Specified Routes
type: item
description: This paper presents a comprehensive study on the analysis of the complexity and safety of the movement of controlled objects along specified predefined routes. The focus is on a method for evaluating route complexity, which entails encoding routes into a finite number of nonoverlapping segments and applying recurrent forms to compute the spectra of dynamic parameters. This technique allows for an assessment of the difficulty level of a particular object's route. The methodology enables the identification of potential obstacles and safety hazards associated with the movement along such routes. An instance of this technique illustrated in this study through a practical example, which includes the movement of a rover on Mars. This instance demonstrates the efficacy of the proposed technique in a real-world scenario, highlighting its potential applicability in both terrestrial and extra-terrestrial navigation. The study emphasizes the significance of route complexity analysis for enhancing the reliability and security of controlled objects, which is essential for the advancement of technologies in space exploration and other areas.
subject: Articles
  topic: section
subject: Complex systems
  topic: keywords
subject: assessment of the complexity of the route of movement for mobile objects
  topic: keywords
subject: controlled objects
  topic: keywords
subject: the reliability and safety of mobile objects
  topic: keywords
creator: Aleksandr Baklashov
creator: Leonid Filimonyuk
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2026-01-10
publication date: 2026-01-10
starting page: 1
ending page: 7
doi: 10.25728/assa.2025.25.4.1951

Estimating the Unmeasured Output of Nonlinear SISO System under Uncertainty
type: item
description: Nonlinear single-channel control plant with affine unmached external disturbances are considered. Their mathematical model has the so-called triangular (based on the composition of the arguments of the functions in each equation) “input-output” form, which has the following structural properties. If there are no external disturbances, then this form is controllable and observable in terms of output. If external disturbances are smooth, then the control plant model is representable in the canonical “input-output” form with respect to mixed variables (functions of state variables, external disturbances and their derivatives). In the new mixed variable basis, the system remains controllable, observable, and has the same relative degree as the original system. If the output variable is measured, then an observer of mixed variables can be constructed based on the canonical system and, using suitable feedback, ensure the desired behavior of the output variable. In this case, there is no need to detail external disturbances and design individual observers for them, which greatly simplifies the structure of the controller. This paper discusses the problem of implementing the specified synthesis procedure in the case when the output variable is not measured. Motivating examples are given and conditions are formulated under which it is possible to first restore the output variable from the measurement of other state variables invariantly with respect to the action of external disturbances. Methods for estimating external disturbances using observers with piecewise linear corrective actions, which do not require the introduction of dynamic disturbance models, constitute the methodological basis for solving this problem. Using the example of various mathematical models of single-link manipulators, the fulfillment/failure of the conditions necessary to restore an unmeasured output variable is demonstrated. The proposed approach can be extended to multichannel nonlinear control p…
subject: Articles
  topic: section
subject: nonlinear SISO system, unmatched disturbances, observability, reduced-order state observer, piecewise linear function with saturatio single-link manipulator.
  topic: keywords
creator: Dmitry V. Krasnov
creator: Anton V. Utkin
rights: Copyright (c) 2024 Advances in Systems Science and Applications
date: 2024-12-31
publication date: 2024-12-31
starting page: 57
ending page: 65
doi: 10.25728/assa.2024.2024.4.1661

Emerging Perspectives on Multiband Fractaland Hybrid Fractal Antennas for Wireless Applications: A Comprehensive Analysis
type: item
description: In the rapidly evolving field of wireless communications, the demand for compact, efficient, and versatile antenna systems has led to significant interest in multiband hybrid fractal antennas. This paper presents a brief overview to the basic fractal structures and their utilization to develop hybrid fractal patch antenna design. The key interest areas are multiband behaviour, acceptable return loss, voltage standing wave ratio, gain and reduced complexity. Many studies have simulated and examined the antenna using the Finite-Difference Time-Domain (FDTD) and Finite Element Method (FEM) based techniques. Various antenna performance parameters such return loss, resonant frequency, bandwidth, and gain are observed and the findings of several articles have been presented. The compact size, multiband/wideband features, and extensive utility in wireless applications make the fractal antenna a promising field of study. These antennas are so popular because of their electrically vast construction, which neatly folds into small spaces.
subject: Articles
  topic: section
subject: Microstrip Patch Antenna, Fractal structure, Hybrid Fractals, Multiband, Return loss, Iterated function system (IFS)
  topic: keywords
creator: Silky Khurana
creator: Rajni Rajni
creator: Yadwinder Kumar
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-06-01
publication date: 2025-06-01
starting page: 23
ending page: 51
doi: 10.25728/assa.2025.2025.2.1686

Analysis of Ring Laser Gyroscope Cavity Thermal deformations
type: item
description: Ring laser gyroscopes are crucial for high-precision orientation, stabilization, and autonomous inertial navigation systems. However, their operational accuracy is significantly affected by temperature-induced cavity deformations, leading to potential performance degradation and data loss. This study addresses this challenge by developing a robust algorithm in the MATLAB environment designed to simulate the temperature deformations of a ring laser cavity. Leveraging experimental data, the methodology enables the precise modeling of cavity deformation behavior at various stages of the ring laser gyroscope assembly. The developed mathematical model effectively demonstrates how the addition of structural elements influences the cavity's thermal response and overall deformation. This research provides a novel approach to quantitatively estimate the contribution of individual structural components to the total thermal deformation. The findings offer critical insights for optimizing ring laser gyroscope design, thereby enhancing their accuracy, reliability, and resilience in diverse operational conditions.
subject: Articles
  topic: section
subject: inertial navigation systems
  topic: keywords
subject: inertial measurement unit
  topic: keywords
subject: ring laser gyroscope
  topic: keywords
subject: cavity
  topic: keywords
subject: control system
  topic: keywords
subject: thermal deformations
  topic: keywords
subject: MATLAB
  topic: keywords
subject: mathematical model
  topic: keywords
subject: simulation
  topic: keywords
creator: Anton Sinelnikov
rights: Copyright (c) 2025 Advances in Systems Science and Applications
date: 2025-08-24
publication date: 2025-08-24
starting page: 120
ending page: 131
doi: 10.25728/assa.2025.2025.1.1683