Stability Analysis of Switched Stochastic Nonlinear Systems With State-Dependent Delay

• 成果类型: Article
• 署名作者: Fan, Lina; Zhu, Quanxin; Zheng, Wei Xing
• 署名单位: Hunan Normal University; Western Sydney University
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2023.3315672
• 发表日期: 2024
• 页码: 2567-2574
• 关键词: Delays; switches; stability analysis; Stochastic systems; STABILITY; control theory; Switched systems; Multiple Lyapunov-Krasovskii functional; state-dependent delay; stochastically weakly locally exponential stability; switched stochastic system

摘要

This article is devoted to solving the problem of stochastically weakly locally exponential stability of switched stochastic systems with the state-dependent delay. Different from the previous works, we introduce the state-dependent delay, which is a random variable dependent on the system state so that the bound of the delay is unknown. In addition, we also consider the influence of switching on the stability of the system. By using multiple Lyapunov-Krasovskii functionals and some novel stochastic analysis techniques, we obtain sufficient conditions for stochastically weakly locally exponential stability of the hybrid system. Two examples are provided to verify the correctness of the proposed results.