Finite-Time Stability of Stochastic Cohen-Grossberg Neural Networks with Markovian Jumping Parameters and Distributed Time-Varying Delays

Abstract

In this paper, the finite-time stability problem is considered for a class of stochastic Cohen-Grossberg neural networks (CGNNs) with Markovian jumping parameters and distributed time-varying delays. Based on Lyapunov-Krasovskii functional and stability analysis theory, a linear matrix inequality approach is developed to derive sufficient conditions for guaranteeing the stability of the concerned system. It is shown that the addressed stochastic CGNNs with Markovian jumping and distributed time varying delays are finite-time stable. An illustrative example is provided to show the effectiveness of the developed results.