Existence and Nonexistence of Positive Solutions for a Delay-dependent Stability Criteria of Stochastic Uncertain Hopfield Neural Networks with Unbounded Distributed Delays and Impulses

Abstract

This paper is concerned with the stability analysis problem for a class of delayed stochastic uncertain Hopfield neural networks with unbounded distributed delays and impulses. A new Lyapunov-Krasovskii functional is constructed for the addressed system and several freeweighting matrices combined with the S-procedure are employed to derive the delay-dependent stability criterion. The criterion is derived and formulated in terms of linear matrix inequality (LMI). In addition to that, two illustrated examples with simulation results are given to show the effectiveness of the obtained theoretical results.