Delay-dependent asymptotic stability criteria for genetic regulatory networks with impulsive perturbations

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• 作者：S. Senthilraj^aAuthor Vitae ; R. Raja^bAuthor Vitae ; Quanxin Zhu^c ; ^d ; Author Vitae ; R. Samidurai^aAuthor Vitae ; Hongwei Zhou^eAuthor Vitae
• 关键词：Asymptotic stability ; Genetic regulatory network ; Impulse ; Lyapunov&ndash ; Krasovskii functional ; Linear matrix inequality
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：19 November 2016
• 年：2016
• 卷：214
• 期：Complete
• 页码：981-990
• 全文大小：735 K

文摘

This paper considers the problem for asymptotic stability of genetic regulatory networks with impulse control using the delay partitioning approach. By using the direct Lyapunov method, a new Lyapunov–Krasovskii functional is introduced based on the decomposition approach. Time delays here are assumed to be time-varying and belong to the given intervals. When dealing with the time derivative of Lyapunov functional, a new tight integral inequality is adopted for bounding the cross terms. Then, a new less conservative delay-dependent stability criterion is formulated in terms of linear matrix inequalities (LMIs), which can be easily solved by the Matlab LMI toolbox. Finally, the proposed method is validated through the numerical simulation, which shows the effectiveness of the presented stability criteria.