Robust stability of interval time-delay systems with delay-dependence

被引:92
作者
Liu, PL [1 ]
Su, TJ
机构
[1] Chien Kuo Coll Technol, Dept Elect Engn, Commerce 500, Changhua, Taiwan
[2] Natl Kaohsiung Inst Technol, Dept Elect Engn, Kaohsiung 807, Taiwan
关键词
stability; time-delay interval systems; comparison theorem; matrix measure;
D O I
10.1016/S0167-6911(97)00098-4
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper proposes a sufficient robust stability condition for interval time-delay systems with delay-dependence. The properties of the comparison theorem and matrix measure are employed to investigate the problem. The stability criteria are delay-dependent and less conservative than delay-independent stability criteria [5,6,12,16] and delay-dependent stability criteria [1,14,15,17] when delay is small. However, the results of this paper indeed give us one more choice for the stability examination of the interval time-delay systems. Simulation examples are given to demonstrate the application of our result. (C) 1998 Elsevier Science B.V. All rights reserved.
引用
收藏
页码:231 / 239
页数:9
相关论文
共 13 条
  • [1] CHEN CT, 1994, P 1994 ROC AUT CONTR, P308
  • [2] Coppel W.A., 1965, STABILITY ASYMPTOTIC
  • [3] KOLMANOVSKII VB, 1986, STABILITY FUNCTION D
  • [4] Lakshmikantham V., 1969, Differential and integral inequalities: Theory and applications
  • [5] Lancaster P., 1969, THEORY MATRICES
  • [6] LIU PL, 1994, J CHINESE I ELECT EN, V1, P191
  • [7] MANU MZ, 1987, TIME DELAYS ANAL OPT
  • [8] STABILITY OF X(T) = AX(T) + BX(T-TAU)
    MORI, T
    KOKAME, H
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1989, 34 (04) : 460 - 462
  • [9] SIMPLE STABILITY-CRITERIA FOR SINGLE AND COMPOSITE LINEAR-SYSTEMS WITH TIME DELAYS
    MORI, T
    FUKUMA, N
    KUWAHARA, M
    [J]. INTERNATIONAL JOURNAL OF CONTROL, 1981, 34 (06) : 1175 - 1184
  • [10] ROBUST STABILITY FOR LINEAR TIME-DELAY SYSTEMS WITH LINEAR PARAMETER PERTURBATIONS
    SU, TJ
    FONG, IK
    KUO, TS
    SUN, YY
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 1988, 19 (10) : 2123 - 2129