Practical stability of positive switched nonlinear time-varying systems

被引:0
作者
Li, Ruonan [1 ,2 ]
Zhao, Ping [1 ]
机构
[1] Shandong Normal Univ, Sch Informat Sci & Engn, Jinan 250014, Peoples R China
[2] Univ Jinan, Sch Elect Engn, Jinan 250022, Peoples R China
来源
16TH IEEE INTERNATIONAL CONFERENCE ON CONTROL, AUTOMATION, ROBOTICS AND VISION (ICARCV 2020) | 2020年
关键词
ASYMPTOTIC STABILITY; ROBUST STABILITY; LINEAR-SYSTEMS; STABILIZATION;
D O I
10.1109/icarcv50220.2020.9305444
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, practical stability is concerned for positive switched nonlinear time-varying (PSNTV) systems and positive switched linear time-varying (PSLTV) systems with disturbances. Based on a new definition on practical stability which can fully reflect the positivity of every component of the solution, sufficient conditions on practical stability of PSNTV systems are given by using the multiple max-separable Lyapunov function method. As an application of our criterion, sufficient criteria on practical stability are also provided for PSLTV systems with disturbances. Through our criterion, the systems' practical stability can be judged directly from the algebraic characteristics of the systems. At the end, examples are presented to illustrate the effectiveness of our results.
引用
收藏
页码:567 / 571
页数:5
相关论文
共 50 条
  • [31] Absolute exponential L1-gain analysis and synthesis of switched nonlinear positive systems with time-varying delay
    Zhang, Junfeng
    Zhao, Xudong
    Cai, Xiushan
    APPLIED MATHEMATICS AND COMPUTATION, 2016, 284 : 24 - 36
  • [32] Stability analysis of nonlinear time-varying systems with bounded and unbounded delays
    Sun, Yuangong
    Xie, Xue-Jun
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2020, 357 (11): : 6968 - 6978
  • [33] Novel Stability Criteria of Nonlinear Uncertain Systems with Time-Varying Delay
    Dong, Yali
    Mei, Shengwei
    Wang, Xueli
    ABSTRACT AND APPLIED ANALYSIS, 2011,
  • [34] Robust stability and H∞ control for nonlinear discrete-time switched systems with interval time-varying delay
    Dong, Yali
    Liang, Shuang
    Wang, Huiming
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2019, 42 (06) : 1999 - 2015
  • [35] New stability conditions for discrete-time switched positive linear time-varying systems
    Zhang, Niankun
    Zhu, Jin
    Kang, Yu
    Yu, Peilong
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 2022, 359 (01): : 104 - 122
  • [36] 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
  • [37] Novel Stability Criteria of Nonlinear Systems with Uncertainties and Time-varying Delay
    Dong Yali
    Wang Xueli
    Li Weixun
    PROCEEDINGS OF THE 29TH CHINESE CONTROL CONFERENCE, 2010, : 906 - 911
  • [38] DDI-based finite-time stability analysis for nonlinear switched systems with time-varying delays
    Xue, Wenping
    Li, Kangji
    Liu, Guohai
    INTERNATIONAL JOURNAL OF SYSTEMS SCIENCE, 2016, 47 (12) : 3027 - 3035
  • [39] On Input-to-State Stability of Discrete-Time Switched Nonlinear Time-Varying Systems
    Chen, Guopei
    Yang, Ying
    Li, Junmin
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (12) : 5214 - 5221
  • [40] 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