A Converse Lyapunov Theorem for the Discrete Switched System

被引：0
|
作者：
Li, Zhiqiang [1 ]
Xiao, Huimin [1 ]
Song, Jinli [1 ]
机构：
[1] Henan Univ Econ & Law, Dept Math & Informat Sci, Zhengzhou 450002, Henan, Peoples R China
来源：
2011 CHINESE CONTROL AND DECISION CONFERENCE, VOLS 1-6 | 2011年
关键词：
Discrete Switched System; Converse Lyapunov Theorem; Common Lyapunov Function; Uniform Asymptotical Stability; STABILITY;
D O I：
暂无
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, a converse Lyapunov theorem for discrete switched systems is presented, and a common Lyapunov function is constructed for a class a discrete switched systems whose subsystems are commutative.
引用
收藏
页码：3947 / 3951
页数：5
相关论文
共 50 条
  • [41] Converse Lyapunov-Krasovskii theorem for ISS of neutral systems in Sobolev spaces
    Efimov, Denis
    Fridman, Emilia
    AUTOMATICA, 2020, 118
  • [42] A converse Lyapunov theorem for linear parameter-varying and linear switching systems
    Wirth, F
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2005, 44 (01) : 210 - 239
  • [43] A New Converse Lyapunov Theorem for Global Exponential Stability and Applications to Stochastic Approximation
    Vidyasagar, M.
    2022 IEEE 61ST CONFERENCE ON DECISION AND CONTROL (CDC), 2022, : 2319 - 2321
  • [44] ON CONVERSE LYAPUNOV THEOREM FOR FIXED-TIME INPUT-TO-STATE STABILITY
    Efimov, Denis
    Polyakov, Andrey
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2024, 62 (01) : 118 - 134
  • [45] On a Converse theorem for Finite-time Lyapunov Functions to Estimate Domains of Attraction
    Pandey, Ayush
    Ames, Aaron D.
    2020 AMERICAN CONTROL CONFERENCE (ACC), 2020, : 3763 - 3769
  • [46] Lyapunov and Converse Lyapunov Theorems for Stochastic Semistability
    Rajpurohit, Tanmay
    Haddad, Wassim M.
    2016 IEEE 55TH CONFERENCE ON DECISION AND CONTROL (CDC), 2016, : 5373 - 5378
  • [47] Lyapunov and converse Lyapunov theorems for stochastic semistability
    Rajpurohit, Tanmay
    Haddad, Wassim M.
    SYSTEMS & CONTROL LETTERS, 2016, 97 : 83 - 90
  • [48] A PROOF OF A DISCRETE STABILITY TEST VIA THE LYAPUNOV THEOREM
    HARN, YP
    CHEN, CT
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1981, 26 (03) : 733 - 734
  • [49] Fractional-order input-to-state stability and its converse Lyapunov theorem
    Guo, Tong
    Wei, Yiheng
    Zhang, Luyao
    Mao, Yao
    Zhou, Xi
    Cao, Jinde
    JOURNAL OF THE FRANKLIN INSTITUTE, 2025, 362 (01)
  • [50] A converse Lyapunov theorem for, non-uniform in time, global exponential robust stability
    Tsinias, J
    SYSTEMS & CONTROL LETTERS, 2001, 44 (05) : 373 - 384
12345