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

Author

Listed:
  • Linlin Hou
  • Mingzhou Zhang
  • Xudong Zhao
  • Haibin Sun
  • Guangdeng Zong

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.

Suggested Citation

  • Linlin Hou & Mingzhou Zhang & Xudong Zhao & Haibin Sun & Guangdeng Zong, 2018. "Stability of discrete-time switched systems with admissible edge-dependent switching signals," International Journal of Systems Science, Taylor & Francis Journals, vol. 49(5), pages 974-983, April.
    • Handle: RePEc:taf:tsysxx:v:49:y:2018:i:5:p:974-983
    DOI: 10.1080/00207721.2018.1439122
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