ON THE STABILITY OF SLOWLY TIME-VARYING LINEAR-SYSTEMS

被引:85
|
作者
SOLO, V
机构
[1] Department of Statistics, Macquarie University, Sydney, 2109, NSW
关键词
TIME-VARYING SYSTEMS; LINEAR SYSTEMS; STABILITY; STOCHASTIC STABILITY;
D O I
10.1007/BF01211523
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
New conditions are given in both deterministic and stochastic settings for the stability of the system x = A(t)x when A(t) is slowly varying. Roughly speaking, the eigenvalues of A(t) are allowed to ''wander'' into the right half-plane as long as ''on average'' they are strictly in the left half-plane.
引用
收藏
页码:331 / 350
页数:20
相关论文
共 50 条
  • [1] STABILITY OF SLOWLY TIME-VARYING LINEAR-SYSTEMS
    SOLO, V
    [J]. LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES, 1992, 184 : 451 - 456
  • [2] ROBUSTNESS OF STABILITY OF TIME-VARYING LINEAR-SYSTEMS
    HINRICHSEN, D
    ILCHMANN, A
    PRITCHARD, AJ
    [J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 1989, 82 (02) : 219 - 250
  • [3] STABILITY OF LINEAR-SYSTEMS WITH TIME-VARYING DELAYS
    XU, DY
    [J]. KEXUE TONGBAO, 1988, 33 (08): : 626 - 631
  • [4] STABILITY AND INSTABILITY OF TIME-VARYING LINEAR-SYSTEMS
    LEONDES, CT
    RATCLIFF.AF
    [J]. MECHANICAL ENGINEERING, 1972, 94 (02): : 51 - &
  • [5] ROBUST EXPONENTIAL STABILITY OF TIME-VARYING LINEAR-SYSTEMS
    HINRICHSEN, D
    PRITCHARD, AJ
    [J]. INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 1993, 3 (01) : 63 - 83
  • [6] STABILITY INVESTIGATION OF DISCONTINUOUS OR PERIODICALLY TIME-VARYING LINEAR-SYSTEMS
    FORSTER, U
    UNBEHAUEN, R
    [J]. ARCHIV FUR ELEKTROTECHNIK, 1974, 56 (01): : 45 - 49
  • [7] Exponential stability for a class of nonsmooth linear slowly time-varying systems
    Fang Jian-yin
    Ding Zhi-shuai
    Cheng Gui-fang
    [J]. DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 380 - 382
  • [8] Unified stability criteria for slowly time-varying and switched linear systems
    Gao, Xiaobin
    Liberzon, Daniel
    Liu, Ji
    Basar, Tamer
    [J]. AUTOMATICA, 2018, 96 : 110 - 120
  • [9] NEW SUFFICIENT CONDITIONS FOR THE STABILITY OF SLOWLY VARYING LINEAR-SYSTEMS
    AMATO, F
    CELENTANO, G
    GAROFALO, F
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1993, 38 (09) : 1409 - 1411
  • [10] Stability and stabilizability for slowly time-varying systems
    Medina, Rigoberto
    Vidal, Claudio
    [J]. IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2016, 33 (03) : 757 - 771