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
  • [11] Delay-dependent stability analysis for uncertain neutral systems with time-varying delays
    Liu, Xin-Ge
    Wu, Min
    Martin, Ralph
    Tang, Mei-Lan
    MATHEMATICS AND COMPUTERS IN SIMULATION, 2007, 75 (1-2) : 15 - 27
  • [12] Novel delay-dependent robust stability criteria for uncertain neutral systems with time-varying delay
    Tian, Junkang
    Xiong, Lianglin
    Liu, Jianxing
    Xie, Xiangjun
    CHAOS SOLITONS & FRACTALS, 2009, 40 (04) : 1858 - 1866
  • [13] Robust H∞ control for neutral stochastic uncertain systems with time-varying delay
    Guici Chen1
    2.College of Science
    Journal of Systems Engineering and Electronics, 2010, 21 (04) : 658 - 665
  • [14] Robust H∞ control for neutral stochastic uncertain systems with time-varying delay
    Chen, Guici
    Wang, Xiaoping
    JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2010, 21 (04) : 658 - 665
  • [15] New stability analysis for uncertain neutral system with time-varying delay
    Wang, B.
    Liu, X.
    Zhong, S.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 197 (01) : 457 - 465
  • [16] Delay-dependent Stability Criteria for Uncertain Neutral Systems with Time-varying Delay
    Jin, Chaoyong
    Chen, Deyin
    2008 7TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION, VOLS 1-23, 2008, : 4647 - 4652
  • [17] Stability of Uncertain Systems with Time-varying Delay
    Tang Meilan
    Liu Xinge
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 3, 2008, : 632 - 635
  • [18] New result on exponential stability for neutral stochastic linear system with time-varying delay
    Chen, Huabin
    Wang, Liu
    APPLIED MATHEMATICS AND COMPUTATION, 2014, 239 : 320 - 325
  • [19] Delay-range-dependent stability for uncertain stochastic systems with time-varying delay
    Liu, Tao
    26TH CHINESE CONTROL AND DECISION CONFERENCE (2014 CCDC), 2014, : 1591 - 1596
  • [20] Delay partitioning approach to robust stability analysis for uncertain stochastic systems with interval time-varying delay
    Wang, C.
    Shen, Y.
    IET CONTROL THEORY AND APPLICATIONS, 2012, 6 (07): : 875 - 883
12345