Lyapunov Characterizations of Exponential Mean Square Input-to-State Stability for Discrete-Time Markovian Switching Nonlinear Systems

• 成果类型: Article
• 署名作者: Impicciatore, Anastasia; Pepe, Pierdomenico; D'Innocenzo, Alessandro
• 署名单位: University of L'Aquila
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3211777
• 发表日期: 2023
• 页码: 4706-4721
• 关键词: posed approach. Index Terms-Discrete-time Markovian switching nonlin-ear systems; exponential mean square input-to-state sta-bility (EMS-ISS); exponential mean square stability (EMSS); Lyapunov theorems; wireless control networks (WCNs)

摘要

This article provides necessary and sufficient Lyapunov conditions for the exponential mean square stability and exponential mean square input-to-state-stability of discrete-time Markovian switching nonlinear systems. An application to the stability analysis of wireless control networks is presented, showing the usefulness of the proposed approach.