Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise
Zhang Hua-Guang(张化光)a)b)†, Fu Jie(浮洁)b), Ma Tie-Dong(马铁东)b), and Tong Shao-Cheng(佟绍成)c)
a Key Laboratory of Integrated Automation for the Process Industry, Ministry of Education, Northeastern University, Shenyang 110004, China; b School of Information Science and Engineering, Northeastern University, Shenyang 110004, China; c Department of Mathematics and Physics, Liaoning University of Technology, Jinzhou 121001, China
Abstract This paper is concerned with the problem of robust stability for a class of Markovian jumping stochastic neural networks (MJSNNs) subject to mode-dependent time-varying interval delay and state-multiplicative noise. Based on the Lyapunov--Krasovskii functional and a stochastic analysis approach, some new delay-dependent sufficient conditions are obtained in the linear matrix inequality (LMI) format such that delayed MJSNNs are globally asymptotically stable in the mean-square sense for all admissible uncertainties. An important feature of the results is that the stability criteria are dependent on not only the lower bound and upper bound of delay for all modes but also the covariance matrix consisting of the correlation coefficient. Numerical examples are given to illustrate the effectiveness.
Received: 23 November 2008
Revised: 13 February 2009
Accepted manuscript online:
Fund: Project supported by the National
Natural Science Foundation of China (Grant Nos 60534010, 60774048,
60728307, 60804006, 60521003), the National High Technology Research
and Development Program of China (863 Program) (Grant No
2006AA04Z183), the Natural Science Foundation of Liaoning Province
of China (Grant No 20062018), 973
Project (Grant No 2009CB320601) and 111 Project (Grant No B08015).
Cite this article:
Zhang Hua-Guang(张化光), Fu Jie(浮洁), Ma Tie-Dong(马铁东), and Tong Shao-Cheng(佟绍成) Robust stability analysis for Markovian jumping stochastic neural networks with mode-dependent time-varying interval delay and multiplicative noise 2009 Chin. Phys. B 18 3325
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