On Equivalence of Lyapunov-Razumikhin Conditions and ISS for a Class of Time-Delay Systems

• 成果类型: Article
• 署名作者: Efimov, D.; Aleksandrov, A.
• 署名单位: Inria; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Universite de Lille; Centrale Lille; ITMO University; Saint Petersburg State University; Russian Academy of Sciences
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2024.3382609
• 发表日期: 2024
• 页码: 5666-5671
• 关键词: Asymptotic stability; delay systems; Lyapunov methods

摘要

For a retarded nonlinear system with a Lipschitz nonlinearity on bounded sets outside the origin, this article proposes necessary conditions for application of the Lyapunov-Razumikhin method. The presented conditions are illustrated on the classes of linear and nonlinear homogeneous systems.