Sufficient conditions for stability of linear time-delay systems with dependent delays

被引：0
|
作者：
Ying Zhu [1 ,2 ]
Qina Gao [1 ,2 ]
Yang Xiao [3 ]
机构：
[1] School of Electronic and Information Engineering, Beihang University
[2] Beijing Aeronautical Technology Research Center
[3] Institute of Information Science, Beijing Jiaotong University
来源：
Journal of Systems Engineering and Electronics | 2013年 / 24卷 / 05期
基金：
中国国家自然科学基金;
关键词：
time-delay systems; quasipolynomials; stability test;
D O I：
暂无
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
According to the delay property, linear time-delay(LTD) systems can be classified as LTD systems with dependent delays(LTD DD) and LTD systems with independent delays(LTD ID). This paper reveals that the stability condition for LTD ID systems can be applied to LTD DD systems, a sufficient stability condition for LTD DD systems is derived from it, while only fewer of the LTD DD systems can satisfy the stability condition due to the very strict limitation for the delays of the LTD DD systems. To solve the problem, based on two-dimensional(2-D) hybrid polynomials,some sufficient conditions for stability of LTD DD systems are proposed. Examples show that the proposed stability test algorithms are simple and valid.
引用
收藏
页码：845 / 851
页数：7
相关论文
共 50 条
  • [1] Sufficient conditions for stability of linear time-delay systems with dependent delays
    Zhu, Ying
    Gao, Qina
    Xiao, Yang
    [J]. JOURNAL OF SYSTEMS ENGINEERING AND ELECTRONICS, 2013, 24 (05) : 845 - 851
  • [2] Sufficient conditions for α-stability of linear time-delay systems
    De La Sen, M
    [J]. CYBERNETICS AND SYSTEMS, 2002, 33 (08) : 835 - 840
  • [3] On stability of linear time-delay systems with multiple delays
    Park, Gwang-Seok
    Choi, Ho-Lim
    Lim, Jong-Tae
    [J]. INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2008, 39 (08) : 839 - 852
  • [4] DELAY DEPENDENT STABILITY OF LINEAR TIME-DELAY SYSTEMS
    Stojanovic, Sreten B.
    Debeljkovic, Dragutin Lj.
    [J]. THEORETICAL AND APPLIED MECHANICS, 2013, 40 (02) : 223 - 245
  • [5] Independent delay sufficient conditions for robust stability of uncertain linear time-delay systems with jumps
    Benjelloun, K
    Boukas, EK
    [J]. PROCEEDINGS OF THE 1997 AMERICAN CONTROL CONFERENCE, VOLS 1-6, 1997, : 3814 - 3815
  • [6] New time-domain sufficient conditions for stability analysis of linear time-delay systems
    Chellaboina, VijaySekhar
    Haddad, Wassim M.
    Kamath, Ajeet
    [J]. 2006 AMERICAN CONTROL CONFERENCE, VOLS 1-12, 2006, 1-12 : 2439 - +
  • [7] Time-domain sufficient conditions for stability analysis of linear neutral time-delay systems
    Kamath, Ajeet
    Chellaboina, VijaySekhar
    Haddad, Wassim M.
    [J]. 2007 AMERICAN CONTROL CONFERENCE, VOLS 1-13, 2007, : 3274 - +
  • [8] Frequency domain sufficient conditions for stability analysis of linear neutral time-delay systems
    Chellaboina, VijaySekhar
    Kamath, Ajeet
    Haddad, Wassim M.
    [J]. 2005 44TH IEEE CONFERENCE ON DECISION AND CONTROL & EUROPEAN CONTROL CONFERENCE, VOLS 1-8, 2005, : 4330 - 4335
  • [9] New sufficient conditions for the asymptotic stability of discrete time-delay systems
    Sangapate, P.
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 8
  • [10] New sufficient conditions for the asymptotic stability of discrete time-delay systems
    P Sangapate
    [J]. Advances in Difference Equations, 2012
12345