Stability Analysis for Continuous-Time Positive Systems With Time-Varying Delays

被引：249
作者：
Liu, Xingwen [1 ,2 ]
Yu, Wensheng [3 ]
Wang, Long [4 ,5 ]
机构：
[1] SW Univ Nationalities China, Coll Elect & Informat Engn, Chengdu 610041, Sichuan, Peoples R China
[2] Univ Elect Sci & Technol China, Sch Automat Engn, Chengdu 610054, Sichuan, Peoples R China
[3] E China Normal Univ, Shanghai Key Lab Trustworthy Comp, Shanghai 200062, Peoples R China
[4] Peking Univ, Coll Engn, Ctr Syst & Control, Beijing 100871, Peoples R China
[5] Peking Univ, Minist Educ, Key Lab Machine Percept, Beijing 100871, Peoples R China
来源：
IEEE TRANSACTIONS ON AUTOMATIC CONTROL | 2010年 / 55卷 / 04期
基金：
美国国家科学基金会;
关键词：
Asymptotic stability; linear copositive Lyapunov functional; positive system; time-varying delays; NONNEGATIVE REALIZATION; LINEAR-SYSTEMS; STABILIZATION;
D O I：
10.1109/TAC.2010.2041982
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 note addresses the stability problem of continuous-time positive systems with time-varying delays. It is shown that such a system is asymptotically stable for any continuous and bounded delay if and only if the sum of all the system matrices is a Hurwitz matrix. The result is a time-varying version of the widely-known asymptotic stability criterion for constant-delay positive systems. A numerical example illustrates the correctness of our result.
引用
收藏
页码：1024 / 1028
页数：5
相关论文
共 50 条
  • [41] Internally positive representations and stability analysis of linear differential systems with multiple time-varying delays
    De Iuliis, Vittorio
    D'Innocenzo, Alessandro
    Germani, Alfredo
    Manes, Costanzo
    IET CONTROL THEORY AND APPLICATIONS, 2019, 13 (07) : 920 - 927
  • [42] Stability analysis of homogeneous cooperative positive differential systems with time-varying delays and its generalization
    Hieu, Le Trung
    Van Thinh, La
    Tuan, Hoang The
    SYSTEMS & CONTROL LETTERS, 2024, 191
  • [43] Exponential Stability of Homogeneous Positive Systems of Degree One With Time-Varying Delays
    Feyzmahdavian, Hamid Reza
    Charalambous, Themistoklis
    Johansson, Mikael
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2014, 59 (06) : 1594 - 1599
  • [44] Stochastic stability analysis and L∞-gain controller design for positive Markov jump systems with time-varying delays
    Li, Shuo
    Xiang, Zhengrong
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 22 : 31 - 42
  • [45] Stability Analysis of Continuous-Time Positive Switched Linear Systems
    Ju, Yanhao
    Zhu, Xingao
    Sun, Yuangong
    2018 18TH INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION AND SYSTEMS (ICCAS), 2018, : 1062 - 1065
  • [46] Stability Analysis of Linear Systems with Time-varying State and Measurement Delays
    Lu, Liang
    Albertos, Pedro
    Garcia, Pedro
    2014 11TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA), 2014, : 4692 - 4697
  • [47] On the Uniform Exponential Stability of Time-Varying Systems Subject to Discrete Time-Varying Delays and Nonlinear Delayed Perturbations
    Hammami, Maher
    Hammami, Mohamed Ali
    De la Sen, Manuel
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2015, 2015
  • [48] Synchronization of Continuous-Time Linear Systems With Time-Varying Output Couplings
    Li, Shuang
    Xia, Weiguo
    Zhang, Fan
    IEEE TRANSACTIONS ON INDUSTRIAL INFORMATICS, 2022, 18 (01) : 143 - 152
  • [49] H∞ filtering for continuous-time singular systems with time-varying delay
    Zhu, Xunlin
    Wang, Youyi
    Gan, Yong
    INTERNATIONAL JOURNAL OF ADAPTIVE CONTROL AND SIGNAL PROCESSING, 2011, 25 (02) : 137 - 154
  • [50] Stability analysis of systems with time-varying delays for conservatism and complexity reduction
    Fan, Yu-Long
    Zhang, Chuan-Ke
    Liu, Yun-Fan
    He, Yong
    Wang, Qing-Guo
    SYSTEMS & CONTROL LETTERS, 2024, 193
12345