Stability of discrete-time switched systems with admissible edge-dependent switching signals

Linlin Hou, Mingzhou Zhang, Xudong Zhao, Haibin Sun and Guangdeng Zong

International Journal of Systems Science, 2018, vol. 49, issue 5, 974-983

Abstract: The problem of stability is studied in this paper for a class of discrete-time switched systems with unstable subsystems. Two new definitions of slow switching and fast switching on the basis of admissible edge-dependent average dwell time are proposed, respectively. Some conditions are established by using multiple Lyapunov function method to guarantee the global uniform exponential stability of discrete-time switched systems. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed results.

Date: 2018
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DOI: 10.1080/00207721.2018.1439122

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