Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
394294 | Information Sciences | 2011 | 20 Pages |
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.
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Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Zhengxia Wang, Xiaofeng Liao, Songtao Guo, Haixia Wu,