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Stability of discrete-time switched systems with admissible edge-dependent switching signals |
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| Authors: | Linlin Hou Mingzhou Zhang Haibin Sun Guangdeng Zong |
| Affiliation: | 1. School of Information Science and Engineering, Qufu Normal University, Rizhao, China;2. School of Control Science and Engineering, Dalian University of Technology, Dalian, China;3. College of Electronic Information Engineering, University of Science and Technology Liaoning, Anshan, 114051, China;4. College of Engineering, Qufu Normal University, Rizhao, China |
| 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. |
| Keywords: | Admissible edge-dependent average dwell time multiple Lyapunov functions discrete-time switched system unstable subsystems |