Passivity analysis of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations

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• 作者：Zhiyong Ye ; ^a ; ^{yezhiyong1966@163.com" class="auth_mail" title="E-mail the corresponding author} ; Huihui Ji^a ; ^{jihuihui2009@163.com" class="auth_mail" title="E-mail the corresponding author} ; He Zhang^b ; ^{freeskyvip@163.com" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Complex dynamic networks ; Input passive ; Output passive ; Multiple time-varying delays ; Stochastic perturbations ; Markovian switching
• 刊名：Chaos, Solitons & Fractals
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：83
• 期：Complete
• 页码：147-157
• 全文大小：641 K

文摘

This paper is concerned with the passivity problem for a class of Markovian switching complex dynamic networks with multiple time-varying delays and stochastic perturbations. Some sufficient conditions are obtained to guarantee that the complex dynamic networks with multiple time-varying delays and stochastic perturbations under Markovian switching are passive in the sense of expectation. The appropriate stochastic Lyapunov–Krasovskii functional was constructed, and stochastic theory, linear matrix inequality technique and properties of Weiner process were employed to achieve the results. Finally, some simulation examples are presented to illustrate the effectiveness of the obtained results.