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：
中国国家自然科学基金; 澳大利亚研究理事会;
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
相关论文
共 50 条
  • [41] Stability of stochastic dynamic equations with time-varying delay on time scales
    Nguyen Huu Du
    Le Anh Tuan
    Nguyen Thanh Dieu
    STOCHASTIC ANALYSIS AND APPLICATIONS, 2020, 38 (05) : 909 - 928
  • [42] Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay
    孙继涛
    王庆国
    高含俏
    AppliedMathematicsandMechanics(EnglishEdition), 2010, 31 (02) : 255 - 262
  • [43] Delay-dependent robust stability and H∞ analysis of stochastic systems with time-varying delay
    Ji-tao Sun
    Qing-guo Wang
    Han-qiao Gao
    Applied Mathematics and Mechanics, 2010, 31 : 255 - 262
  • [44] New exponential stability criteria for neutral system with time-varying delay and nonlinear perturbations
    Ma, Yuechao
    Zhu, Lihong
    ADVANCES IN DIFFERENCE EQUATIONS, 2014,
  • [45] New exponential stability criteria for neutral system with time-varying delay and nonlinear perturbations
    Yuechao Ma
    Lihong Zhu
    Advances in Difference Equations, 2014
  • [46] A Survey on Numerical Techniques for Stability Analysis of Time-Varying Delay System
    Park P.
    Lee J.H.
    Na H.-W.
    Journal of Institute of Control, Robotics and Systems, 2024, 30 (04) : 322 - 330
  • [47] FURTHER RESULTS ON NEW STABILITY ANALYSIS FOR UNCERTAIN NEUTRAL SYSTEMS WITH TIME-VARYING DELAY
    Yu, Ker-Wei
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2010, 6 (3A): : 1133 - 1140
  • [48] Stability analysis and simulation research of the single time-varying delay system
    Wang Yan-qiu
    Wang Jian-hui
    Gu Shu-sheng
    PROCEEDINGS OF 2004 CHINESE CONTROL AND DECISION CONFERENCE, 2004, : 59 - 61
  • [49] Improved Stability Analysis for Discrete System with Interval Time-Varying Delay
    Tian Engang
    Yue Dong
    Zhang Yijun
    Peng Chen
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 3, 2008, : 86 - +
  • [50] A Generalized System Approach to Intermittent Nonfragile Control of Stochastic Neutral Time-Varying Delay Systems
    Ding, Kui
    Zhu, Quanxin
    Li, Haidan
    IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS, 2021, 51 (11): : 7017 - 7026
12345