Stability and stabilization of switched stochastic systems under asynchronous switching

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• 作者：Wei Ren ^{gtpp@mail.ustc.edu.cn" class="auth_mail" title="E-mail the corresponding author} ; Junlin Xiong ; ^{xiong77@ustc.mail.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Asynchronous switching ; Average dwell time ; Switched system ; Stochastic stability
• 刊名：Systems & Control Letters
• 出版年：2016
• 出版时间：November 2016
• 年：2016
• 卷：97
• 期：Complete
• 页码：184-192
• 全文大小：674 K

文摘

This paper studies the stability and stabilization problems for a class of switched stochastic systems under asynchronous switching. The asynchronous switching refers to that the switching of the candidate controllers does not coincide with the switching of system modes. Two situations are considered: (1) time-delayed switching situation, that is, the switching of the candidate controllers has a lag to the switching of the system modes; (2) mismatched switching situation, the switching of the candidate controllers does not match the switching of the system modes. Using average dwell time and Lyapunov-like function, sufficient conditions are established for stochastic input-to-state stability of the whole system. Also, the stabilizing controller design approach is proposed for switched stochastic linear systems. The minimal average dwell time and the controller gain are achieved. Finally, a numerical example is used to demonstrate the validity of the developed results.