Local Normal Forms of Autonomous Quasi-Linear Constrained Differential Systems

Authors

  • Alexander Kotyukov V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
  • Stanislav Nikanorov V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia
  • Natalya Pavlova V.A. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia; Moscow Institute of Physics and Technology (State University), Dolgoprudniy, Russia

DOI:

https://doi.org/10.25728/assa.2020.20.1.866

Keywords:

impasse point, direction field, normal form, diffeomorphism, symmetry

Abstract

The paper presents a study of impasse (singular) points of autonomous quasi-linear constrained differential systems, also called differential-algebraic equations. The interest in such systems is motivated by their applications in various problems of pure and applied mathematics, including control theory, biology, and electric engineering. Local normal forms of such systems in a neighborhood of their impasse points are established.

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Published

2020-03-31

Issue

Vol. 20 No. 1 (2020): Advances in Systems Science and Applications

Section

Articles

How to Cite

Local Normal Forms of Autonomous Quasi-Linear Constrained Differential Systems. (2020). Advances in Systems Science and Applications, 20(1), 119-127. https://doi.org/10.25728/assa.2020.20.1.866