Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays

被引：48
|
作者：
Kwon, O. M. [1 ]
Park, Ju H. [2 ]
机构：
[1] Chungbuk Natl Univ, Sch Elect & Comp Engn, Cheongju 361763, South Korea
[2] Yeungnam Univ, Dept Elect Engn, Kyongsan 712749, South Korea
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2009年 / 208卷 / 01期
关键词：
Stabilization; Interval time-varying delays; LMI; Lyapunov's method; STABILITY-CRITERIA; ROBUST STABILITY; DIFFERENTIAL SYSTEMS; LINEAR-SYSTEMS; STATE; CONTROLLER; DESIGN;
D O I：
10.1016/j.amc.2008.11.010
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the problem of delay-range-dependent stabilization criterion for uncertain dynamic systems with time-varying delays is considered. The time-varying delays considered is assumed to be belong to a given interval in which lower bound of delay is not restricted to zero. By constructing a suitable augmented Lyapunov's functional and utilizing free weight matrices, the criterion for stabilization is established in terms of linear matrix inequalities. Three numerical examples are given to show the effectiveness of proposed method. (C) 2008 Elsevier Inc. All rights reserved.
引用
收藏
页码：58 / 68
页数：11
相关论文
共 50 条
  • [31] Delay-Range-Dependent Exponential Stability for Switched Time-Varying Delay Systems
    Ma, Dan
    Zhao, Jun
    2008 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-11, 2008, : 4044 - 4048
  • [32] Delay-range-dependent passivity analysis for uncertain stochastic neural networks with discrete and distributed time-varying delays
    Samidurai, R.
    Manivannan, R.
    NEUROCOMPUTING, 2016, 185 : 191 - 201
  • [33] Delay-Range-Dependent L2–L∞ Filtering for Stochastic Systems with Time-Varying Interval Delay
    Qi Zhou
    Bing Chen
    Hongyi Li
    Chong Lin
    Circuits, Systems & Signal Processing, 2009, 28 : 331 - 348
  • [34] Delay-dependent exponential stabilization for uncertain linear systems with interval non-differentiable time-varying delays
    Botmart, T.
    Niamsup, P.
    Phat, V. N.
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (21) : 8236 - 8247
  • [35] Improved Delay-Range-Dependent Stability for Linear Systems with Time-Varying Delays Based on Affine Function
    Zhang, Liansheng
    Liu, Qiang
    PROCEEDINGS OF THE 2016 12TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2016, : 2720 - 2726
  • [36] Delay-dependent robust stability of uncertain dynamic systems with time-varying delays
    Kwon, Oh-Min
    Park, Ju-Hyun
    Transactions of the Korean Institute of Electrical Engineers, 2009, 58 (01): : 181 - 186
  • [37] Delay Dependent Robust Stabilization for Systems With Uncertain Time Varying Delays
    Tissir, El Houssaine
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2010, 132 (05): : 1 - 7
  • [38] On delay-dependent robust stability of uncertain neutral systems with interval time-varying delays
    Kwon, O. M.
    Park, Ju H.
    Lee, S. M.
    APPLIED MATHEMATICS AND COMPUTATION, 2008, 203 (02) : 843 - 853
  • [39] Delay-Range-Dependent Stability Criteria for Lur'e System with Interval Time-Varying Delay
    Ramakrishnan, K.
    Ray, G.
    49TH IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2010, : 170 - 175
  • [40] Delay-range-dependent stability for fuzzy BAM neural networks with time-varying delays
    Liu, Bin
    Shi, Peng
    PHYSICS LETTERS A, 2009, 373 (21) : 1830 - 1838
12345