On Input-to-Output Stability and Robust Synchronization of Generalized Persidskii Systems

• 成果类型: Article
• 署名作者: Mei, Wenjie; Efimov, Denis; Ushirobira, Rosane
• 署名单位: Universite de Lille; Centre National de la Recherche Scientifique (CNRS); CNRS - Institute for Information Sciences & Technologies (INS2I); Inria; Centrale Lille; ITMO University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3123208
• 发表日期: 2022
• 页码: 5578-5585
• 关键词: Synchronization; Stability criteria; Lyapunov methods; Perturbation methods; indexes; Linear matrix inequalities; Symmetric matrices; generalized Persidskii systems; input-to-output stability (IOS); robust synchronization

摘要

In this article, we study a class of generalized Persidskii systems with external disturbances and establish conditions, in the form of linear matrix inequalities, for input-to-output stability and robust synchronization for these systems. We apply the obtained results to the robust control design for synchronizing linear systems and to the synchronization of Hindmarsh-Rose models of neurons.