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Robust exponential stability for uncertain stochastic neural networks with discrete and distributed time-varying delays
Authors:Hongyi Li  Bing Chen  Qi Zhou  Shengle Fang
Affiliation:a Department of Mathematics, Bohai University, Jinzhou, Liaoning 121000, PR China
b Institute of Complexity Science, Qingdao University, Qingdao 266071, PR China
c Institute of Nonlinear Complex Systems, China Three Gorges University, Yichang, Hubei 443002, PR China
Abstract:This Letter deals with the problem of delay-dependent robust exponential stability in mean square for a class of uncertain stochastic Hopfield neural networks with discrete and distributed time-varying delays. Based on Lyapunov-Krasovskii functional and the stochastic stability theory, delay-dependent stability criteria are obtained in terms of linear matrix inequalities (LMIs). Because of introducing some free-weighting matrices to develop the stability criteria, the proposed stability conditions have less conservatism. Numerical examples are given to illustrate the effectiveness of our results.
Keywords:Neural networks   Exponential stability   Stochastic systems   Uncertain systems   LMIs
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