Exponential stability criterion for time-delay systems with nonlinear uncertainties

被引：8
作者：
Nam, Phan T. [1 ]
机构：
[1] Quynhon Univ, Dept Math, Binhdinh, Vietnam
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 214卷 / 02期
关键词：
Exponential stability; Time-delays; Nonlinear uncertainties; Lyapunov function; Linear matrix inequality; ROBUST STABILIZATION; VARYING DELAYS; LINEAR-SYSTEMS; DYNAMIC-SYSTEMS;
D O I：
10.1016/j.amc.2009.04.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Exponential stability of time-delay systems with nonlinear uncertainties is studied in this paper. Based on the Lyapunov method and the approaches of decomposing the matrix, a new exponential stability criterion is derived in terms of a matrix inequality, which allows to compute simultaneously the two bounds that characterize the exponential nature of the solution. Some numerical examples are also given to show the superiority of our result to those in the literature. (C) 2009 Elsevier Inc. All rights reserved.
引用
收藏
页码：374 / 380
页数：7
相关论文
共 50 条
  • [41] Exponential stability for a class of switched nonlinear positive systems with partial unstable subsystems and time-delay
    Liang, Meng-Qian
    Tian, Ya-Zhou
    Kongzhi yu Juece/Control and Decision, 2024, 39 (10): : 3297 - 3304
  • [42] Exponential stability of uncertain switched nonlinear time-delay systems with state-dependent switching
    School of Automation, Nanjing University of Science and Technology, Nanjing
    210094, China
    Kongzhi yu Juece Control Decis, 12 (2247-2252): : 2247 - 2252
  • [43] Delay-dependent stability criterion for a class of neutral time-delay systems
    Yang, B
    Zhu, RJ
    Li, T
    PROCEEDINGS OF THE 2003 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 2003, : 2694 - 2696
  • [44] Exponential stability of time-delay systems via new weighted integral inequalities
    Le Van Hien
    Hieu Trinh
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 275 : 335 - 344
  • [45] Exponential Stability Analysis of Large-scale Time-delay Nonlinear Systems with Hybrid Models
    Xu, Degang
    Hua, Guiwei
    Su, Zhifang
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4822 - +
  • [46] New Stability Criteria for Uncertain Nonlinear Stochastic Time-Delay Systems
    Miao, Xiufeng
    Li, Longsuo
    CIRCUITS SYSTEMS AND SIGNAL PROCESSING, 2015, 34 (08) : 2441 - 2456
  • [47] Input-to-state stability of time-delay systems: A link with exponential stability
    Yeganefar, Nima
    Pepe, Pierdomenico
    Dambrine, Michel
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2008, 53 (06) : 1526 - 1531
  • [48] ADAPTIVE FUZZY CONTROL FOR NONLINEAR TIME-DELAY SYSTEMS WITH DYNAMICAL UNCERTAINTIES
    Tong, Shaocheng
    Sheng, Ning
    Li, Yongming
    ASIAN JOURNAL OF CONTROL, 2012, 14 (06) : 1589 - 1598
  • [49] Stability criteria for linear time-delay systems with multiple passive uncertainties
    Han, QL
    Gu, K
    TIME DELAY SYSTEMS, 2002, : 267 - 272
  • [50] EXPONENTIAL STABILITY OF LINEAR DISTRIBUTED PARAMETER SWITCHED SYSTEMS WITH TIME-DELAY
    BAO Leping
    FEI Shumin
    YU Lei
    JournalofSystemsScience&Complexity, 2014, 27 (02) : 263 - 275
12345