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Event-triggered control design for networked evolutionary games with time invariant delay in strategies

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  • Jianjun Wang
  • Renato De Leone
  • Shihua Fu
  • Jianwei Xia
  • Lishan Qiao

Abstract

This paper investigates the dynamics and control problem for a class of networked evolutionary games with time invariant delay (DNEGs) in strategies by using a semi-tensor product based method. A number of new results are presented. First, algebraic forms are constructed for DNEGs. Second, based on the algebraic formulations, necessary and sufficient conditions for the global convergence of desired strategy profile are presented under a state feedback event-triggered controller. Furthermore, the constructive procedure and the number of all valid event-triggered state feedback controllers are derived, which can make the game converge globally. Finally, an illustrative example is given to show the effectiveness of the obtained results.

Suggested Citation

  • Jianjun Wang & Renato De Leone & Shihua Fu & Jianwei Xia & Lishan Qiao, 2021. "Event-triggered control design for networked evolutionary games with time invariant delay in strategies," International Journal of Systems Science, Taylor & Francis Journals, vol. 52(3), pages 493-504, February.
    • Handle: RePEc:taf:tsysxx:v:52:y:2021:i:3:p:493-504
    DOI: 10.1080/00207721.2020.1831646
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    Cited by:

    1. Liangliang Chang & Zhipeng Zhang & Chengyi Xia, 2023. "Impact of Decision Feedback on Networked Evolutionary Game with Delays in Control Channel," Dynamic Games and Applications, Springer, vol. 13(3), pages 783-800, September.

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