H_∞ Control of Switching Delayed Stochastic Hopfield Neural Network Systems with Markovian Jumping Parameters

摘要

This paper considers the problem of H_∞ control of a class of Hopfield neural network systems with time-varying delays and Markovian jumping parameters. The delays are assumed to be bounded. The jumping parameters considered here are generated from a continuous-time discrete-state homogenous Markov process, which are governed by a Markov process with discrete and finite state space. Our purpose is to design state feedback controllers that guarantee the systems are stochastic stability with a prescribed performance γ. Based on the Lyapunov method and stochastic analysis approach, a sufficient condition for the solvability of the problems are derived in term of linear matrix inequalities, which can be easily checked by resorting to available software packages. A numerical example is exploited to demonstrate the effectiveness of the proposed results.