Stability Analysis of Time-Varying Neutral Stochastic Hybrid Delay System

• 成果类型: Article
• 署名作者: Chen, Huabin; Shi, Peng; Lim, Cheng-Chew
• 署名单位: Nanchang University; University of Adelaide
• 刊物名称: IEEE TRANSACTIONS ON AUTOMATIC CONTROL
• ISSN/ISSBN: 0018-9286
• DOI: 10.1109/TAC.2022.3220517
• 发表日期: 2023
• 页码: 5576-5583
• 关键词: STOCHASTIC PROCESSES; DELAYS; switches; Time-varying systems; asymptotic stability; Stability criteria; delay systems; Nonlinear neutral stochastic hybrid system; stochastic stability; time-varying delay; time-varying system

摘要

This note analyzes the stochastic stability for time varying neutral stochastic hybrid delay system, which includes the stability in pth(p = 2)-moment, the asymptotical stability in pth(p= 2)-moment, the exponential stability in pth(p = 2) moment, and the almost surely exponential stability. One modified version of generalized delay integral inequality, the Lyapunov- Krasovskii function, and the stochastic analysis are used. The proposed methodology can surmount the analytical difficulty, which stems from the coexistence of neutral term, stochastic disturbance, bounded time-varying delay, and a sign-changed time varying coefficient in the diffusion condition. An example is given to show the effectiveness of the theoretical results obtained.