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Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy

Author

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  • Wu, Jie
  • Yang, Rongni
  • Kovacs, Levente
  • Shi, Peng

Abstract

In this paper, the predefined-time Lyapunov stability of nonlinear systems is investigated via a dynamic event-triggered control strategy. Specifically, we succeeded in making such systems with local finite-time convergence property admit a larger convergence domain within a predefined instant. As is well known, the presence of finite-time property brings great difficulties in excluding Zeno behavior of event-triggered mechanism. Hence, a possible solution is that the designed event-based controller only works in extended domain, while the convergence of initial domain is generated by system itself. Thus the Zeno behavior is excluded. Meanwhile, sufficient conditions for the predefined-time stability of the resultant closed-loop systems are further established. Finally, two simulation examples including an application to Chua's circuit are presented to illustrate the effectiveness of the proposed theoretical results.

Suggested Citation

  • Wu, Jie & Yang, Rongni & Kovacs, Levente & Shi, Peng, 2025. "Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy," Applied Mathematics and Computation, Elsevier, vol. 507(C).
    • Handle: RePEc:eee:apmaco:v:507:y:2025:i:c:s009630032500284x
    DOI: 10.1016/j.amc.2025.129558
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