Mean square stability of stochastic impulsive genetic regulatory networks with mixed time-delays

Authors:
Zhanheng Chen;Haijun Jiang
Affiliations:
Department of Mathematics and statistics, YiLi Normal University, Yining, China;College of Mathematics and System Sciences, Xinjiang University, Urumqi, China
Venue:
ISNN'12 Proceedings of the 9th international conference on Advances in Neural Networks - Volume Part I
Year:
2012

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Abstract

In this paper, we investigate a class of stochastic impulsive genetic regulatory networks with mixed time-delays. By using Lyapunov-Krasovskii functional method, LMI method and mathematical induction, some sufficient conditions are derived ensuring the globally exponential stability of the equilibrium point of the genetic regulatory networks in mean square. It is believed that these results are significant and useful for the design and applications of stochastic impulsive genetic regulatory networks. Finally, an example is given to illustrate the results obtained in this paper.