Mean square exponential stability of stochastic genetic regulatory networks with time-varying delays
详细信息 查看全文
- 作者：Zhengxia Wang ; Xiaofeng Liao ; Songtao Guo ; Haixia Wu
- 关键词：Genetic regulatory networks ; Stochastic analysis ; Exponential stability ; Time-varying delays ; Linear matrix inequalities
- 刊名：Information Sciences
- 出版年：2011
- 出版时间：15 February 2011
- 年：2011
- 卷：181
- 期：4
- 页码：792-811
- 全文大小：514 K
文摘
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.