Stability Analysis for Impulsive Stochastic Time-Varying Systems

• 成果类型: Article
• 署名作者: Wu, Xiaotai; Zheng, Wei Xing; Tang, Yang; Jin, Xin
• 署名单位: Anhui Polytechnic University; Western Sydney University; East China University of Science & Technology
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3190197
• 发表日期: 2023
• 页码: 2584-2591
• 关键词: Time-varying systems; Stability criteria; asymptotic stability; control theory; Stochastic processes; Time-frequency analysis; Lyapunov methods; Impulsive density; impulsive stochastic systems; STABILITY; Time-varying systems

摘要

The average impulsive interval is widely used to describe the frequency of impulsive occurrence (FIO), where the occurrence number of impulses is bounded by a linear function of time interval length. However, the linear relationship may insufficiently or excessively characterize the occurrence number of impulses to stabilize impulsive time-varying systems. In this article, the impulsive density is introduced to describe a time-varying FIO, such that the occurrence number of impulses can be characterized more explicitly. Under the impulsive density, the asymptotical stability is considered for impulsive stochastic time-varying systems, where the continuous dynamics of systems, impulsive strengths, and instants are all assumed to be time-varying. In addition, the exponential stability is also investigated for impulsive stochastic time-varying systems with time-delay, which can extend some existing results. Two examples, including one example of the consensus for impulsive time-varying multiagent systems with time-delay, are presented to demonstrate the effectiveness of the proposed results.