Stability Analysis of Non-autonomous Switched Systems Based on Time-varying Scalar Functions

被引：0
作者：
Qiu, Mengmeng [1 ]
Lu, Junjie [1 ]
Feng, Weijie [1 ]
She, Zhikun [1 ]
机构：
[1] Beihang Univ, Sch Math & Syst Sci, Beijing 100191, Peoples R China
来源：
PROCEEDINGS OF THE 36TH CHINESE CONTROL CONFERENCE (CCC 2017) | 2017年
关键词：
Switched systems; Time-varying scalar functions; Asymptotic stability; Exponential stability; Uniformly exponential stability; MULTIPLE LYAPUNOV FUNCTIONS; LINEAR-SYSTEMS; DESIGN; STABILIZATION; TARGET;
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, we investigate asymptotic stability, exponential stability and uniformly exponential stability of non-autonomous switched systems, respectively. Starting with non-autonomous switched linear systems, we firstly provide necessary and sufficient conditions for its asymptotic stability and exponential stability based on the existence of an asymptotically stable function and an exponentially stable function. Successively, a sufficient condition for uniformly exponential stability of a non-autonomous switched linear system is proposed by the existence of an uniformly exponentially stable function. Based on this sufficient condition, we further derive a sufficient condition for local uniformly exponential stability of non-autonomous switched nonlinear systems. In the end, an illustrative example is given to show the applicability of our theoretical results.
引用
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页码：2403 / 2408
页数：6
相关论文
共 26 条
  • [1] [Anonymous], 1994, Studies in applied mathematics
  • [2] Multiple Lyapunov functions and other analysis tools for switched and hybrid systems
    Branicky, MS
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1998, 43 (04) : 475 - 482
  • [3] Design of Stabilizing Switching Laws for Mixed Switched Affine Systems
    Hajiahmadi, Mohammad
    De Schutter, Bart
    Hellendoorn, Hans
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2016, 61 (06) : 1676 - 1681
  • [4] Khalil H., 2003, Nonlinear systems
  • [5] Lee T. C., 2007, 2007 American Control Conference, P669, DOI 10.1109/ACC.2007.4282919
  • [6] General Lyapunov Functions for Consensus of Nonlinear Multiagent Systems
    Liang, Quanyi
    She, Zhikun
    Wang, Lei
    Su, Housheng
    [J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2017, 64 (10) : 1232 - 1236
  • [7] Basic problems in stability and design of switched systems
    Liberzon, D
    Morse, AS
    [J]. IEEE CONTROL SYSTEMS MAGAZINE, 1999, 19 (05): : 59 - 70
  • [8] Liberzon D., 2003, Switching in Systems and Control
  • [9] Stability and Stabilizability of Switched Linear Systems: A Survey of Recent Results
    Lin, Hai
    Antsaklis, Panos J.
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2009, 54 (02) : 308 - 322
  • [10] Uniform stability of switched nonlinear systems
    Liu, Jun
    Liu, Xinzhi
    Xie, Wei-Chau
    [J]. NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) : 441 - 454
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