Improved Input-to-State Stability Analysis of Impulsive Stochastic Systems

• 成果类型: Article
• 署名作者: Wang, Pengfei; Guo, Wenya; Su, Huan
• 署名单位: Harbin Institute of Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2021.3075763
• 发表日期: 2022
• 页码: 2161-2174
• 关键词: stochastic systems; Power system dynamics; Stability criteria; Lyapunov methods; Stochastic processes; Power system stability; graph theory; Average dwell-time (ADT) condition; impulsive systems; Lyapunov method; stochastic nonlinear systems

摘要

This article is concerned with the input-to-state stability (ISS) and stochastic input-to-state stability (SISS) of impulsive stochastic nonlinear systems. By constructing a general SISS-Lyapunov function, which takes the exponential SISS-Lyapunov function as a special case, the ISS criteria are obtained, respectively, for destabilizing and stabilizing impulses. It should be stressed that we impose the average dwell-time (ADT) condition for destabilizing impulses and reverse average dwell-time (RADT) condition for stabilizing impulses to restrain the occurrence of impulses, which extends the fixed dwell-time condition in recent literature. Moreover, the ADT and RADT conditions in this article correspond to the average impulsive interval method in most existing results under the exponential ISS-Lyapunov condition. As a subsequent result, the ISS and SISS of impulsive stochastic interconnected systems on networks are also studied by the Lyapunov method and graph-theoretic technique. Finally, several illustrative examples together with their numerical simulations are provided to demonstrate the theoretical results.