Robust stability of stochastic genetic regulatory networks with discrete and distributed delays |
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| Authors: | Zhengxia Wang Xiaofeng Liao Jiali Mao Guodong Liu |
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| Affiliation: | (1) Department of Computer Science and Engineering, Chongqing University, 400044 Chongqing, China;(2) Present address: School of Science, Chongqing Jiaotong University, 400074 Chongqing, China;(3) Department of Computer Science, China West Normal University, Sichuan, China;(4) School of Civil Engineering and Architecture, Chongqing Jiaotong University, 400074 Chongqing, China |
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| Abstract: | In this paper, the problem on asymptotical and robust stability of genetic regulatory networks with time-varying delays and
stochastic disturbance is considered. The time-varying delays include not only discrete delays but also distributed delays.
The parameter uncertainties are time-varying and norm-bounded. Based on the Lyapunov stability theory and Lur’s system approach,
sufficient conditions are given to ensure the stability of genetic regulatory networks. All the stability conditions are given
in terms of linear matrix inequalities, which are easy to be verified. Illustrative example is presented to show the effectiveness
of the obtained results. |
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| Keywords: | Genetic network Stochastic perturbation Robust stability Uncertain system Distributed delays LMI |
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