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Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy

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  • Xiaolin Yuan
  • Lipo Mo
  • Yongguang Yu

Abstract

This paper is devoted to the quasi-containment control problem of fractional-order multi-agent systems (FOMASs). First, to reduce the frequency of communications, a novel observer-based event-triggered control mechanism which only relies on the information at the trigger-time is proposed. And then, by applying the theory of algebraic graph, matrix and fractional-order calculus, some sufficient consensus conditions based on the linear matrix inequality are established for achieving the consensus of FOMASs. In addition, the strict positive lower bound on the inter-event interval is obtained, which implies that the system is free from the Zeno behaviour. Finally, several simulation examples are presented to demonstrate the effectiveness of the theoretical results.

Suggested Citation

  • Xiaolin Yuan & Lipo Mo & Yongguang Yu, 2019. "Observer-based quasi-containment of fractional-order multi-agent systems via event-triggered strategy," International Journal of Systems Science, Taylor & Francis Journals, vol. 50(3), pages 517-533, February.
  • Handle: RePEc:taf:tsysxx:v:50:y:2019:i:3:p:517-533
    DOI: 10.1080/00207721.2018.1563222
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