Stabilization for a Class of Discrete-Time Switched \(\Phi \) -Systems

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• 作者：Haibiao Sun ; Jiao Li ; Jun Zhao
• 关键词：Discrete ; time switched systems ; Stabilization ; Switching law
• 刊名：Circuits, Systems, and Signal Processing
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：36
• 期：2
• 页码：834-844
• 全文大小：
• 刊物类别：Engineering
• 刊物主题：Circuits and Systems; Electrical Engineering; Signal,Image and Speech Processing; Electronics and Microelectronics, Instrumentation;
• 出版者：Springer US
• ISSN：1531-5878
• 卷排序：36

文摘

This paper investigates the stability for a class of discrete-time switched \(\Phi \)-systems without assuming the stability for any subsystem. Based on the single Lyapunov function method and the multiple Lyapunov functions method, respectively, switching laws depending on the system state are designed, which can guarantee the stability of the switched system. In particular, when the proposed single Lyapunov function method is used, the stability of the convex combination of the system matrices is not required, which extends the classic single Lyapunov method. Two examples illustrate the effectiveness of the results.