Local Finite-Time Stability for a Class of Time-Delay Systems

• 成果类型: Article
• 署名作者: Li, Xiaodi; He, Xinyi; Yang, Dan; Moulay, Emmanuel; Hui, Qing
• 署名单位: Shandong Normal University; University of Nebraska System; University of Nebraska Lincoln; Universite de Poitiers
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3355855
• 发表日期: 2024
• 页码: 4781-4785
• 关键词: Delays; Delay effects; Stability criteria; asymptotic stability; Lyapunov methods; Time-varying systems; delay systems; finite-time stability; Lyapunov method; memoryless controller; settling time; time-delay system

摘要

This article studies the local finite-time stability for a class of time-delay systems. Some Lyapunov-based sufficient conditions are proposed in the framework of finite time, where a potential connection between time delay and system parameters for local finite-time stability is established. An estimate of the upper bound of the settling time depending on the time delay is derived. Examples are given to illustrate the effectiveness of the proposed results. Especially, a finite-time stabilizing memoryless controller for a class of second-order systems with time-varying delay is proposed.