Finite-time control of switched stochastic delayed systems

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• 作者：Yun ChenAuthor Vitae ; Qinwen LiuAuthor Vitae ; Renquan LuAuthor Vitae ; Anke Xue ; ^{akxue@hdu.edu.cn" class="auth_mail" title="E-mail the corresponding author}Author Vitae
• 关键词：Switched stochastic delayed systems ; Mean-square finite-time stability ; Average dwell time ; Mode-dependent Lyapunov function
• 刊名：Neurocomputing
• 出版年：2016
• 出版时间：26 May 2016
• 年：2016
• 卷：191
• 期：Complete
• 页码：374-379
• 全文大小：530 K

文摘

This paper is devoted to the finite-time stability analysis and control for switched stochastic delayed systems (SSDSs). The issue of mean-square finite-time stability for nonlinear switched stochastic delayed systems (NSSDSs) is considered. A stability criterion with average dwell time constraint is proposed to ensure the mean-square value of state is not larger than a prescribed threshold during a given time interval. This result can be extended to analysis and design for nonlinear/linear switched stochastic delayed systems. Then, based on partial-mode-dependent/mode-dependent Lyapunov function approaches, mean-square finite-time stability conditions for linear switched stochastic delayed systems (LSSDSs) are developed. Subsequently, both partial-mode-dependent and mode-dependent state feedback controllers for LSSDSs are designed, respectively. Finally, an illustrative example is provided to demonstrated the effectiveness of the method.