Partial exponential stability of nonlinear time-varying large-scale systems

被引：5
|
作者：
Jian, JG [1 ]
Liao, XX
机构：
[1] Huazhong Univ Sci & Technol, Dept Control Sci & Engn, Wuhan 430074, Peoples R China
[2] China Three Gorges Univ, Coll Sci, Yichang 443002, Peoples R China
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2004年 / 59卷 / 05期
基金：
中国国家自然科学基金;
关键词：
nonlinear time-varying large-scale systems; partial exponential stability; Lyapunov functions; comparison principle;
D O I：
10.1016/j.na.2004.07.037
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, theorems concerning the partial exponential stability and globally partial exponential stability of nonlinear time-varying large-scale systems are obtained via both scalar and vector Lyapunov function methods and both scalar and vector comparison technique. By describing high-order systems as collections of lower interconnected subsystems so that the partial exponential stability and globally partial exponential stability property of isolated subsystems infers the same property of the over-all system, these theorems obtained here extend and complemented the relevant known results and enriched the contents of the partial exponential stability theory for nonlinear time-varying large-scale systems. Finally, two numerical examples are presented to illustrate the effectiveness of the results. (C) 2004 Elsevier Ltd. All rights reserved.
引用
收藏
页码：789 / 800
页数：12
相关论文
共 50 条
  • [1] ON THE STABILITY OF TIME-VARYING DISCRETE LARGE-SCALE SYSTEMS.
    Liu Yongqing
    Tang Gongyou
    Advances in modelling & simulation, 1987, 9 (04): : 31 - 41
  • [2] THE STABILITY OF LINEAR TIME-VARYING DISCRETE LARGE-SCALE SYSTEMS
    XU, DY
    KEXUE TONGBAO, 1984, 29 (07): : 986 - 986
  • [3] Exponential stability of slowly time-varying nonlinear systems
    Peuteman, J
    Aeyels, D
    MATHEMATICS OF CONTROL SIGNALS AND SYSTEMS, 2002, 15 (03) : 202 - 228
  • [4] Exponential Stability of Slowly Time-Varying Nonlinear Systems
    Joan Peuteman
    Joan Peuteman
    Dirk Aeyels
    Mathematics of Control, Signals and Systems, 2002, 15 : 202 - 228
  • [5] Exponential stability for nonlinear time-varying systems on time scales
    Qiang, Cheng-Xiu
    Sun, Jian-Ping
    Zhao, Ya-Hong
    INTERNATIONAL JOURNAL OF CONTROL, 2024, 97 (07) : 1647 - 1657
  • [6] On the exponential stability of large-scale nonlinear systems with multiple time delays
    Beijing Inst of Technology, Beijing, China
    J Beijing Inst Technol Engl Lang Iss, 1 (36-41):
  • [7] Decentralized stability for switched nonlinear large-scale systems with interval time-varying delays in interconnections
    Thanh, Nguyen T.
    Phat, Vu N.
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2014, 11 : 22 - 36
  • [8] Stability for single and large-scale uncertain systems with time-varying delays
    Liu, PL
    Su, TJ
    IEE PROCEEDINGS-CONTROL THEORY AND APPLICATIONS, 1999, 146 (06): : 591 - 597
  • [9] Stability conditions of linear large-scale systems with time-varying delay
    Zhang, Z.F.
    Zhang, J.
    Kongzhi yu Juece/Control and Decision, 2001, 16 (02): : 155 - 158
  • [10] Further results of stability for large-scale systems with time-varying delay
    Zhang, Zhi-Fei
    Jin, Jie
    2002, Xiangtan Mining Institute (17):
12345