Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy
Date
2025
Authors
Wu, J.
Yang, R.
Kovacs, L.
Shi, P.
Editors
Advisors
Journal Title
Journal ISSN
Volume Title
Type:
Journal article
Citation
Applied Mathematics and Computation, 2025; 507:129558-1-129558-12
Statement of Responsibility
Jie Wu, Rongni Yang, Levente Kovacs, Peng Shi
Conference Name
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.
School/Discipline
Dissertation Note
Provenance
Description
Access Status
Rights
© 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.