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

被引：3
|
作者：
Zhu, Ying [1 ,2 ]
Gao, Qina [1 ,2 ]
Xiao, Yang [3 ]
机构：
[1] Beihang Univ, Sch Elect & Informat Engn, Beijing 100191, Peoples R China
[2] Beijing Aeronaut Technol Res Ctr, Beijing 100076, Peoples R China
[3] Beijing Jiaotong Univ, Inst Informat Sci, Beijing 100044, Peoples R China
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; guasipolynomials; stability test; ROBUST STABILITY; POLYNOMIALS; CRITERIA;
D O I：
10.1109/JSEE.2013.00098
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
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
    Ying Zhu
    Qina Gao
    Yang Xiao
    JournalofSystemsEngineeringandElectronics, 2013, 24 (05) : 845 - 851
  • [2] Sufficient conditions for α-stability of linear time-delay systems
    De La Sen, M
    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
    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.
    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
    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
    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.
    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.
    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.
    ADVANCES IN DIFFERENCE EQUATIONS, 2012, : 1 - 8
  • [10] New sufficient conditions for the asymptotic stability of discrete time-delay systems
    P Sangapate
    Advances in Difference Equations, 2012
12345