Non-uniform sampled-data control for stochastic passivity and passification of Markov jump genetic regulatory networks with time-varying delays

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• 作者：Li Lu^a ; ^{lul@sdju.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Zhen Xing^b ; ^{jason.xing@cooperindustries.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae ; Bing He^c ; ^{hebing.qh@gmail.com" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Markov jump genetic regulatory networks ; Passivity and passification ; Non-uniform sampled-data ; Time-varying delays
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：1 January 2016
• 年：2016
• 卷：171
• 期：Complete
• 页码：434-443
• 全文大小：1019 K

文摘

This paper investigates the passivity and passification problems for Markov jump genetic regulatory networks with time-varying delays. A sampled-data control approach with non-uniform sampling period is taken into account. By invoking the input-delay approach and employing the Lyapunov–Krasovskii functional method, delay-dependent sufficient conditions on passivity are first given, upon which a mode-dependent passification controller design procedure is then presented. Finally, two numerical examples are provided to illustrate the applicability and effectiveness of the theoretical results.