Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays

Authors:
Zhengxia Wang;Xiaofeng Liao;Songtao Guo;Haixia Wu
Affiliations:
State Key Laboratory of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University, Chongqing 400044, China and School of Sciences, Chongq ...;State Key Laboratory of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University, Chongqing 400044, China;State Key Laboratory of Power Transmission Equipment & System Security and New Technology, College of Computer Science, Chongqing University, Chongqing 400044, China;Department of Computer and Modern Education Technology, Chongqing Education College, Chongqing 400067, China
Venue:
Information Sciences: an International Journal
Year:
2011

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Abstract

In this paper, we study the mean square exponential stability of stochastic genetic regulatory networks with time-varying delays. Two kinds of time-varying delays are considered: one is differentiable with bounded delay derivative the other is continuous without constraints on the delay derivative. In order to investigate the mean square exponential stability in stochastic genetic regulatory networks, some novel rate-dependent/independent mean square exponential stability criteria are derived by constructing Lyapunov-Krasovskii functional. The sufficient conditions are given in terms of linear matrix inequalities. Moreover, illustrative examples are used to substantiate the effectiveness and less conservativeness of our results.