A novel result on stability analysis for uncertain neutral stochastic time-varying delay systems

被引：43
|
作者：
Deng, Feiqi [1 ]
Mao, Weihua [1 ,2 ]
Wan, Anhua [3 ]
机构：
[1] S China Univ Technol, Coll Automat Sci & Engn, Guangzhou 510640, Guangdong, Peoples R China
[2] South China Agr Univ, Dept Math, Guangzhou 510642, Guangdong, Peoples R China
[3] Sun Yat Sen Univ, Sch Math & Computat Sci, Guangzhou 510275, Guangdong, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 221卷
基金：
中国国家自然科学基金;
关键词：
Stochastic neutral systems; Generalized Finsler lemma; Delay-dependent; Mean-square exponentially stable; Linear matrix inequality; Orthogonal complement; DEPENDENT ROBUST STABILITY; H-INFINITY CONTROL; EXPONENTIAL STABILITY; NEURAL-NETWORKS; CRITERIA; DESIGN;
D O I：
10.1016/j.amc.2013.05.071
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper is concerned with the mean-square exponential stability analysis for uncertain neutral linear stochastic time-varying delay systems. By Lyapunov-Krasovskii theory and linear matrix inequality method, under the generalized Finsler lemma (GFL) framework, delay-dependent mean-square exponential stability criteria are established without involving model transformation, cross-terms bounding technique or additional free-weighting matrix. Moreover, GFL is also employed to obtain stability criteria for a class of uncertain linear stochastic neutral systems with different discrete and neutral delays. Numerical examples are presented to verify that the proposed approach is both less conservative and less computationally complex than the existing results. (C) 2013 Elsevier Inc. All rights reserved.
引用
收藏
页码：132 / 143
页数：12
相关论文
共 50 条
  • [1] Stability for uncertain neutral systems with time-varying delay
    Qian, Wei
    Liu, Juan
    Fei, Shumin
    2010 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-5, 2010, : 1963 - +
  • [2] Robust stability analysis for uncertain time-varying delay neutral systems
    Wang, Ruliang
    Pei, Xiaoli
    2018 14TH INTERNATIONAL CONFERENCE ON COMPUTATIONAL INTELLIGENCE AND SECURITY (CIS), 2018, : 215 - 218
  • [3] STABILITY ANALYSIS FOR STOCHASTIC NEUTRAL SWITCHED SYSTEMS WITH TIME-VARYING DELAY
    Chen, Huabin
    Lim, Cheng-Chew
    Shi, Peng
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (01) : 24 - 49
  • [4] A new result on the robust stability of uncertain systems with time-varying delay
    Yan, JJ
    Tsai, JSH
    Kung, FC
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (07): : 914 - 916
  • [5] Improved Stability Criteria for Uncertain Neutral Systems with Time-varying Delay
    Qian Wei
    Wang Shaohua
    Liu Juan
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 863 - 867
  • [6] Stability analysis for uncertain neutral Markovian jump systems with interval time-varying delay
    Liu, Xinghua
    Xi, Hongsheng
    International Journal of Control and Automation, 2013, 6 (04): : 69 - 82
  • [7] 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
  • [8] Delay-dependent exponential stability for uncertain neutral stochastic linear systems with interval time-varying delay
    Chen, H.
    Zhu, C.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (15): : 2409 - 2418
  • [9] 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 (03): : 1133 - 1140
  • [10] Delay-Dependent Robust Exponential Stability for Uncertain Neutral Stochastic Systems with Interval Time-Varying Delay
    Mao, Weihua
    Deng, Feiqi
    Wan, Anhua
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345