A delay-derivative-dependent switched system model method for stability analysis of linear systems with time-varying delay

IF 4.8 2区计算机科学 Q1 AUTOMATION & CONTROL SYSTEMS

Automatica Pub Date : 2025-02-11 DOI:10.1016/j.automatica.2025.112183

Hong-Bing Zeng , Yu-Jie Chen , Yong He , Xian-Ming Zhang

引用次数: 0

Abstract

This paper addresses the issue of delay- and its derivative-dependent stability of a linear system with a time-varying delay. Based on the sign of the delay derivative, the time-varying delay is divided into two modes, namely a monotone increasing mode and a monotone decreasing mode. Then the original delay system is described as a switched system with two modes. This description motivates to construct a monotone-mode-based switching Lyapunov–Krasovskii functional, which allows different Lyapunov matrices for each mode in stability analysis of time-delay systems. By employing the average dwell time technique, several sufficient stability criteria are presented for the system under study. Over two extensively studied examples, we demonstrate that the proposed stability criteria can deliver larger delay upper bounds than some existing methods.

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来源期刊

Automatica 工程技术-工程：电子与电气

CiteScore

10.70

自引率

7.80%

发文量

617

审稿时长

5 months

期刊介绍： Automatica is a leading archival publication in the field of systems and control. The field encompasses today a broad set of areas and topics, and is thriving not only within itself but also in terms of its impact on other fields, such as communications, computers, biology, energy and economics. Since its inception in 1963, Automatica has kept abreast with the evolution of the field over the years, and has emerged as a leading publication driving the trends in the field. After being founded in 1963, Automatica became a journal of the International Federation of Automatic Control (IFAC) in 1969. It features a characteristic blend of theoretical and applied papers of archival, lasting value, reporting cutting edge research results by authors across the globe. It features articles in distinct categories, including regular, brief and survey papers, technical communiqués, correspondence items, as well as reviews on published books of interest to the readership. It occasionally publishes special issues on emerging new topics or established mature topics of interest to a broad audience. Automatica solicits original high-quality contributions in all the categories listed above, and in all areas of systems and control interpreted in a broad sense and evolving constantly. They may be submitted directly to a subject editor or to the Editor-in-Chief if not sure about the subject area. Editorial procedures in place assure careful, fair, and prompt handling of all submitted articles. Accepted papers appear in the journal in the shortest time feasible given production time constraints.