Discrete-Time Switching Systems as Difference Inclusions: Deducing Converse Lyapunov Results for the Former From Those for the Latter

• 成果类型: Article
• 署名作者: Goebel, Rafal
• 署名单位: Loyola University Chicago
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3192810
• 发表日期: 2023
• 页码: 3694-3697
• 关键词: Switches; Lyapunov methods; switching systems; asymptotic stability; stability analysis; STANDARDS; Robustness; Difference inclusion; discrete-time switching system; Dwell time; multiple Lyapunov functions; smooth Lyapunov function

摘要

Nonlinear discrete-time switching systems under mode-dependent switching and dwell-time constraints are modeled by difference inclusions. Novel proofs of converse Lyapunov results are obtained for the switching systems as consequences of a converse Lyapunov result for a difference inclusion.