DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays

被引:7
|
作者
Xue, Wenping [1 ]
Li, Kangji [1 ]
Liu, Guohai [1 ]
机构
[1] Jiangsu Univ, Sch Elect & Informat Engn, Zhenjiang, Peoples R China
基金
中国国家自然科学基金;
关键词
switched systems; finite-time stability; delay differential inequality; time-delay; nonlinear perturbation; L-2-GAIN ANALYSIS; NEURAL-NETWORKS; LINEAR-SYSTEMS; STABILIZATION; ROBUST;
D O I
10.1080/00207721.2015.1066899
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 paper investigates the finite-time stability (FTS) analysis problem for switched systems with both nonlinear perturbation and time-varying delays. For the system to be finite-time stable, a sufficient condition is proposed based on some delay differential inequalities (DDIs), rather than the Lyapunov-like functions which are commonly used in the FTS analysis of switched systems. Compared with the Lyapunov-like function method, the FTS conditions based on the DDI method are easier for checking and do not require FTS of each subsystem. Two examples are given to illustrate the effectiveness of the developed theory.
引用
收藏
页码:3027 / 3035
页数:9
相关论文
共 50 条
  • [21] STABILITY AND ROBUSTNESS ANALYSIS FOR SWITCHED SYSTEMS WITH TIME-VARYING DELAYS
    Mazenc, Frederic
    Malisoff, Michael
    Ozbay, Hitay
    SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2018, 56 (01) : 158 - 182
  • [22] Finite-time Stability Analysis of Switched Nonlinear Systems with Finite-time Unstable Subsystems
    Lin, Xiangze
    Li, Xueling
    Li, Shihua
    Zou, Yun
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 3875 - 3880
  • [23] Exponential stability of continuous time nonlinear Markov switched systems with time-varying delays
    Gao, Lijun
    Wu, Yuqiang
    Zong, Guangdeng
    DYNAMICS OF CONTINUOUS DISCRETE AND IMPULSIVE SYSTEMS-SERIES A-MATHEMATICAL ANALYSIS, 2006, 13 : 166 - 171
  • [24] Adaptive finite-time control for nonlinear teleoperation systems with asymmetric time-varying delays
    Zhai, Di-Hua
    Xia, Yuanqing
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2016, 26 (12) : 2586 - 2607
  • [25] Stability analysis of Discrete-time Switched systems with Time-varying Delays
    Wang, Na
    Huang, Qing-zhen
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 3988 - 3993
  • [26] Guaranteed cost finite-Time control for positive switched linear systems with time-varying delays
    Cao X.
    Liu L.
    Fu Z.
    Song X.
    Song S.
    Liu, Leipo (liuleipo123@163.com), 1600, Hindawi Limited, 410 Park Avenue, 15th Floor, 287 pmb, New York, NY 10022, United States (2017):
  • [27] Stability Analysis for Discrete-Time Switched Systems With Time-Varying Delays
    Shi, Shuang
    Yang, Liu
    Ren, Shunqing
    Fei, Zhongyang
    PROCEEDINGS OF THE 38TH CHINESE CONTROL CONFERENCE (CCC), 2019, : 1730 - 1735
  • [28] Finite-time stability of cascaded time-varying systems
    Li, S.
    Tian, Y. -P.
    INTERNATIONAL JOURNAL OF CONTROL, 2007, 80 (04) : 646 - 657
  • [29] Finite-time Stability and Stabilization for a Class of Nonlinear Discrete-time Descriptor Switched Systems with Time-varying Delay
    Xu, You
    Zhu, Shuqian
    Ma, Shuping
    Han, Qint-Long
    2014 33RD CHINESE CONTROL CONFERENCE (CCC), 2014, : 6025 - 6030
  • [30] Finite-time guaranteed cost control for stochastic nonlinear switched systems with time-varying delays and reaction-diffusion
    Gokulakrishnan, V.
    Srinivasan, R.
    Ali, M. Syed
    Rajchakit, Grienggrai
    INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2023, 100 (05) : 1031 - 1051