Stability Analysis of Time-Varying Neutral Stochastic Hybrid Delay System

被引：10
|
作者：
Chen, Huabin [1 ]
Shi, Peng [2 ]
Lim, Cheng-Chew [2 ]
机构：
[1] Nanchang Univ, Sch Math & Comp, Nanchang 330031, Peoples R China
[2] Univ Adelaide, Sch Elect & Elect Engn, Adelaide 5005, Australia
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2023年 / 68卷 / 09期
基金：
澳大利亚研究理事会; 中国国家自然科学基金;
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; DIFFERENTIAL-EQUATIONS; ASYMPTOTIC STABILITY; CRITERIA; RAZUMIKHIN; THEOREMS;
D O I：
10.1109/TAC.2022.3220517
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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.
引用
收藏
页码：5576 / 5583
页数：8
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