On Delay-Dependent Conditions of ISS for Generalized Persidskii Systems

• 成果类型: Article
• 署名作者: Mei, Wenjie; Efimov, Denis; Ushirobira, Rosane; Fridman, Emilia
• 署名单位: Inria; Universite de Lille; Centre National de la Recherche Scientifique (CNRS); ITMO University; Tel Aviv University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3200972
• 发表日期: 2023
• 页码: 4225-4232
• 关键词: Index Terms-Biological systems; delay-dependent; delay sys-tems; feedback; generalized Persidskii systems; nonlinear sys-tems; stability analysis

摘要

In this article, input-to-state stability and stabilization conditions in time-delay generalized Persidskii systems are studied. These conditions are formulated in terms of linear matrix inequalities, which may depend on delay values, and be local or global in state-space. Numerical examples of opinion dynamics and the Lotka-Volterra model illustrate the efficiency of the proposed results.