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 of singularly perturbed systems with time delay and uncertainties
    Kang, Kyung-In
    Park, Kyun-Sang
    Lim, Jong-Tae
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2015, 46 (01) : 170 - 178
  • [42] Robust Stabilization for Stochastic Systems with Time-Delay and Nonlinear Uncertainties
    Yan, Zhiguo
    Zhang, Guoshan
    Qi, Xingguang
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2012, 2012
  • [43] New stability criteria for discrete time-delay systems with uncertainties
    Lee, C.-H.
    Li, T.-H.S.
    Kung, F.-C.
    Control, theory and advanced technology, 1995, 10 (4 pt 2): : 1159 - 1168
  • [44] Stability Analysis of Switched Time-Delay Systems with Polytopic Uncertainties
    Moezzi, Kaveh
    Aghdam, Amir G.
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 5649 - 5655
  • [45] STABILITY MARGIN CALCULATION OF SYSTEMS WITH STRUCTURED TIME-DELAY UNCERTAINTIES
    ZHANG, DN
    SAEKI, M
    ANDO, K
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1992, 37 (06) : 865 - 868
  • [46] Improved stability criterion for uncertain stochastic delay systems with nonlinear uncertainties
    Chen, Y.
    Xue, A. -K.
    ELECTRONICS LETTERS, 2008, 44 (07) : 458 - U2
  • [47] Global exponential stabilisation of a class of nonlinear time-delay systems
    Benabdallah, Amel
    Echi, Nadhem
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (16) : 3857 - 3863
  • [48] EXPONENTIAL STABILITY OF SINGULARLY PERTURBED DISCRETE SYSTEMS WITH TIME-DELAY
    Park, Kyun-Sang
    Lim, Jong-Tae
    INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL, 2013, 9 (02): : 865 - 874
  • [49] Exponential Stability for Fuzzy Time-Delay Systems with Delayed Impulses
    Chen, Wu-Hua
    Wei, Dan
    Zheng, Wei Xing
    2012 2ND AUSTRALIAN CONTROL CONFERENCE (AUCC), 2012, : 126 - 131
  • [50] Exponential stability of time-delay systems with flexible delayed impulse
    Yu, Zheqi
    Ling, Song
    Liu, Peter X. X.
    ASIAN JOURNAL OF CONTROL, 2024, 26 (01) : 265 - 279
12345