Stability criteria for linear systems with multiple time-varying delays

被引：0
|
作者：
Bugong Xu
机构：
[1] South China University of Technology,Laboratory of Real
来源：
Journal of Control Theory and Applications | 2003年 / 1卷 / 1期
关键词：
Stability; Delay-independent criteria; Delay-dependent criteria; Linear time-delay systems; Multiple time-varying delays;
D O I：
10.1007/s11768-003-0010-6
中图分类号：
学科分类号：
摘要：
New delay-independent and delay-dependent stability criteria for linear systems with multiple time-varying delays are established by using the time-domain method. The results are derived based on a new-type stability theorem for general retarded dynamical systems and new analysis techniques developed in the author's previous work. Unlike some results in the literature, all of the established results do not depend on the derivative of time-varying delays. Therefore, they are suitable for the case with very fast time-varying delays. In addition, some remarks are also given to explain the obtained results and to point out the limitations of the previous results in the literature.
引用
下载
收藏
页码：65 / 69
页数：4
相关论文
共 50 条
  • [21] STABILITY OF LINEAR-SYSTEMS WITH TIME-VARYING DELAYS
    XU, DY
    KEXUE TONGBAO, 1988, 33 (08): : 626 - 631
  • [22] Stability analysis for linear discrete-time systems with multiple time-varying delays
    Xie, Wei
    Xie, Lihua
    Xu, Bugong
    2007 IEEE INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION, VOLS 1-7, 2007, : 1199 - +
  • [23] Refined stability conditions for linear uncertain systems with multiple time-varying delays
    Huang, Chih-Peng
    JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2007, 129 (01): : 91 - 95
  • [24] Delay-independent stability criteria for linear continuous systems with time-varying delays
    Xu, BG
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2002, 33 (07) : 543 - 550
  • [25] Some augmented approaches to the improved stability criteria for linear systems with time-varying delays
    Lee, S. H.
    Park, M. J.
    Kwon, O. M.
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (15): : 8188 - 8200
  • [26] Improved results on stability and stabilization criteria for uncertain linear systems with time-varying delays
    Kwon, O. M.
    Park, M. J.
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2017, 94 (12) : 2435 - 2457
  • [27] On the stability of uncertain systems with multiple time-varying delays
    Cheng-Shiu Junior Coll of Technology, and Commerce, Kaohsiung, Taiwan
    IEEE Trans Autom Control, 1 (101-105):
  • [28] On the stability of uncertain systems with multiple time-varying delays
    Sun, YJ
    Hsieh, JG
    Yang, HC
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1997, 42 (01) : 101 - 105
  • [29] New delay-dependent stability criteria of uncertain linear systems with multiple time-varying state delays
    Yan, Huaicheng
    Huang, Xinhan
    Wang, Min
    Zhang, Hao
    CHAOS SOLITONS & FRACTALS, 2008, 37 (01) : 157 - 165
  • [30] Delay-dependent criteria for robust stability of linear uncertain systems with multiple time-varying state delays
    Kao, YG
    Gao, CC
    2005 INTERNATIONAL CONFERENCE ON CONTROL AND AUTOMATION (ICCA), VOLS 1 AND 2, 2005, : 1254 - 1257
12345