A New Delay-dependent Absolute Stability Criterion for Lurie Systems with Time-varying delay

被引：13
|
作者：
Gao J.-F. [1 ]
Pan H.-P. [1 ]
Ji X.-F. [2 ]
机构：
[1] Institute of Automation, Zhejiang Sci-Tech University
[2] School of Electrical and Information Engineering, Jiangsu University
来源：
Zidonghua Xuebao/Acta Automatica Sinica | 2010年 / 36卷 / 06期
基金：
中国国家自然科学基金;
关键词：
Absolute stability; Linear matrix inequality (LMI); Lurie system; Nonlinearity; Time-varying delay;
D O I：
10.3724/SP.J.1004.2010.00845
中图分类号：
学科分类号：
摘要：
The problem of absolute stability analysis for Lurie systems with time-varying delay and norm-bounded parameter uncertainties is considered. By using a new Lyapunov-Krasovskii functional, which splits the whole delay interval into two subintervals and defining a different energy function on each subinterval, some new delay-dependent robust absolute stability criteria are presented in terms of strict linear matrix inequalities (LMIs). The obtained delay-dependent criteria are less conservative than previous ones, which are illustrated by numerical examples. Copyright © 2010 Acta Automatica Sinica. All right reserved.
引用
收藏
页码：845 / 850
页数：5
相关论文
共 50 条
  • [41] New delay-dependent condition for absolute stability of Lurie control systems with multiple time-delays and nonlinearities
    Cao, Jiuwen
    Zhong, Shouming
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 194 (01) : 250 - 258
  • [42] New delay-dependent stability analysis and synthesis of T-S fuzzy systems with time-varying delay
    Yang, Zhong
    Yang, Yu-Pu
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2010, 20 (03) : 313 - 322
  • [43] A Delay Decomposition Approach to Absolute Stability of Lurie Control System with Time-varying Delay
    Zhang, Xiaojiao
    Cui, Baotong
    Li, Wen
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 3062 - 3067
  • [44] Delay-dependent absolute stability of Lurie control systems with multiple time-delays
    Tian, Junkang
    Zhong, Shouming
    Xiong, Lianglin
    APPLIED MATHEMATICS AND COMPUTATION, 2007, 188 (01) : 379 - 384
  • [45] Delay-Dependent Stability Analysis for Switched Neural Networks With Time-Varying Delay
    Wu, Zheng-Guang
    Shi, Peng
    Su, Hongye
    Chu, Jian
    IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS PART B-CYBERNETICS, 2011, 41 (06): : 1522 - 1530
  • [46] Absolute stability of time-varying delay Lurie indirect control systems with unbounded coefficients
    Fucheng Liao
    Xiao Yu
    Jiamei Deng
    Advances in Difference Equations, 2017
  • [47] Delay-dependent robust stability criteria for uncertain systems with interval time-varying delay
    Peng, Chen
    Tian, Yu-Chu
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2008, 214 (02) : 480 - 494
  • [48] DELAY-DEPENDENT STABILITY CRITERION AND H∞ ANALYSIS FOR MARKOVIAN JUMP SYSTEMS WITH TIME-VARYING DELAYS
    Zhao, Xudong
    Ling, Mingxiang
    Zeng, Qingshuang
    ASIAN JOURNAL OF CONTROL, 2011, 13 (02) : 232 - 239
  • [49] Delay-dependent stability and stabilization of a class of linear switched time-varying delay systems
    Zhang Lixian
    Wang Changhong
    Gao Huijun
    JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2007, 18 (02) : 320 - 326
  • [50] Improved Delay-dependent Robust Stability for Uncertain Stochastic Systems with Time-varying Delay
    Yan, Zhang
    Yong, He
    Min, Wu
    PROCEEDINGS OF THE 27TH CHINESE CONTROL CONFERENCE, VOL 2, 2008, : 764 - 768
12345