Input-to-State Stability of Switched Nonlinear Delay Systems Based on a Novel Lyapunov-Krasovskii Functional Method

被引：0
|
作者：
ZONG Guangdeng [1 ]
ZHAO Haijuan [1 ]
机构：
[1] School of Engineering, Qufu Normal University
来源：
Journal of Systems Science & Complexity | 2018年 / 31卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Asynchronous switching; average dwell time; input-to-state stability; Lyapunov-Krasovskii functional; switched delay system;
D O I：
暂无
中图分类号：
TP13 [自动控制理论];
学科分类号：
0711 ; 071102 ; 0811 ; 081101 ; 081103 ;
摘要：
In this paper, the input-to-state stability(ISS) analysis is addressed for switched nonlinear delay systems. By introducing a novel Lyapunov-Krasovskii functional with indefinite derivative and the merging switching signal techniques, some new criteria are established for switched nonlinear delay systems under asynchronous switching, which extends the existing results to the nonlinear systems with switching rules and delays. The ISS problem is also considered under synchronous switching for switched nonlinear systems by employing the similar techniques. Finally, a nonlinear delay model is provided to show the effectiveness of the proposed results.
引用
收藏
页码：875 / 888
页数：14
相关论文
共 50 条
  • [1] Input-to-State Stability of Switched Nonlinear Delay Systems Based on a Novel Lyapunov-Krasovskii Functional Method
    Zong, Guangdeng
    Zhao, Haijuan
    [J]. JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2018, 31 (04) : 875 - 888
  • [2] Input-to-State Stability of Switched Nonlinear Delay Systems Based on a Novel Lyapunov-Krasovskii Functional Method
    Guangdeng Zong
    Haijuan Zhao
    [J]. Journal of Systems Science and Complexity, 2018, 31 : 875 - 888
  • [3] Construction of Lyapunov-Krasovskii functionals for switched nonlinear systems with input delay
    Wang, Yue-E
    Sun, Xi-Ming
    Wang, Zhuo
    Zhao, Jun
    [J]. AUTOMATICA, 2014, 50 (04) : 1249 - 1253
  • [4] Indefinite derivative Lyapunov-Krasovskii functional method for input to state stability of nonlinear systems with time-delay
    Ning, Chongyang
    He, Yong
    Wu, Min
    Zhou, Shaowu
    [J]. APPLIED MATHEMATICS AND COMPUTATION, 2015, 270 : 534 - 542
  • [5] Lyapunov-Krasovskii functionals for input-to-state stability of switched non-linear systems with time-varying input delay
    Wang, Yue-E
    Sun, Xi-Ming
    Wu, Baowei
    [J]. IET CONTROL THEORY AND APPLICATIONS, 2015, 9 (11): : 1717 - 1722
  • [6] LYAPUNOV-KRASOVSKII CHARACTERIZATION OF THE INPUT-TO-STATE STABILITY FOR SWITCHING RETARDED SYSTEMS
    Haidar, Ihab
    Pepe, Pierdomenico
    [J]. SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2021, 59 (04) : 2997 - 3016
  • [7] Lyapunov-Krasovskii Characterizations of Integral Input-to-State Stability of Delay Systems With Nonstrict Dissipation Rates
    Chaillet, Antoine
    Goksu, Gokhan
    Pepe, Pierdomenico
    [J]. IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2022, 67 (07) : 3259 - 3272
  • [8] On exponential stability of switched systems with delay: Lyapunov-Krasovskii functional approach
    Cong, Shen
    Fei, Shu-Min
    Li, Tao
    [J]. Xitong Gongcheng Lilun yu Shijian/System Engineering Theory and Practice, 2007, 27 (07): : 111 - 115
  • [9] Integral input-to-state stability of delay systems based on Lyapunov-Krasovskii functionals with point-wise dissipation rate
    Chaillet, Antoine
    Pepe, Pierdomenico
    [J]. 2018 IEEE CONFERENCE ON DECISION AND CONTROL (CDC), 2018, : 5451 - 5456
  • [10] Lyapunov-Krasovskii functionals for switched nonlinear input delay systems under asynchronous switching
    Wang, Yue-E
    Sun, Xi-Ming
    Wu, Bao-wei
    [J]. AUTOMATICA, 2015, 61 : 126 - 133
12345