 Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategyJie Wu, Rongni Yang, Levente Kovacs and Peng Shi Applied Mathematics and Computation, 2025, vol. 507, issue C 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. Keywords: Predefined-time Lyapunov stability; Dynamic event-triggered control; Zeno behavior; Chua's circuit; Synchronization (search for similar items in EconPapers) Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:507:y:2025:i:c:s009630032500284x DOI: 10.1016/j.amc.2025.129558 Access Statistics for this article Applied Mathematics and Computation is currently edited by Theodore Simos More articles in Applied Mathematics and Computation from Elsevier |
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