Integral Input-to-state Stability of Discrete-Time Cascade Systems

被引:1
|
作者
Li, Guiyuan [1 ]
Zhao, Ping [1 ]
机构
[1] Univ Jinan, Sch Elect Engn, Jinan 250022, Shandong, Peoples R China
关键词
integral input-to-state stability; discrete time system; cascade system; Lyapunov function; NONLINEAR-SYSTEMS;
D O I
10.1109/IHMSC.2016.13
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
In this paper, some integral input-to-state stability (iISS) results for discrete time cascade systems are presented. Firstly, the definition of iISS for discrete time systems is provided. By using the Lyapunov function method, we give the sufficient conditions on iISS of discrete time cascade systems. Especially, for linear discrete time cascade systems, the sufficient conditions on iISS are provided. Finally, corresponding examples are provided to illustrate the effectiveness of our results.
引用
收藏
页码:152 / 155
页数:4
相关论文
共 50 条
  • [41] Krasovskii and Razumikhin criteria on input-to-state stability of discrete-time time-varying switched delayed systems
    Peng, Shiguo
    Deng, Feiqi
    Xiao, Mingqing
    Wang, Yonghua
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2020, 30 (08) : 3179 - 3193
  • [42] Input-to-state stability for discrete-time time-varying impulsive switched delayed systems with asynchronous phenomena
    Fu, Zhiwen
    Peng, Shiguo
    ASIAN JOURNAL OF CONTROL, 2023, 25 (02) : 1102 - 1114
  • [43] Input-to-state stability and integral input-to-state stability for impulsive switched systems with time-delay under asynchronous switching
    Gao, Lijun
    Wang, Dandan
    NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2016, 20 : 55 - 71
  • [44] Fault Estimation for Discrete-Time Switched Linear Parameter Varying Systems: An Input-to-State Stability Approach
    Zhu, Yanzheng
    Zheng, Wei Xing
    2019 3RD IEEE CONFERENCE ON CONTROL TECHNOLOGY AND APPLICATIONS (IEEE CCTA 2019), 2019, : 1006 - 1011
  • [45] Input-to-State Stability for Discrete-time Monotone Systems via Max-Separable Lyapunov Functions
    Chen, Da
    Liu, Xingwen
    Song, Yulin
    8TH INTERNATIONAL CONFERENCE ON INFORMATION TECHNOLOGY AND QUANTITATIVE MANAGEMENT (ITQM 2020 & 2021): DEVELOPING GLOBAL DIGITAL ECONOMY AFTER COVID-19, 2022, 199 : 1024 - 1030
  • [46] Analysis and Verification of Input-to-State Stability for Nonautonomous Discrete-Time Switched Systems via Semidefinite Programming
    Lu, Junjie
    She, Zhikun
    Liu, Bodan
    Ge, Shuzhi Sam
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2021, 66 (09) : 4452 - 4459
  • [47] A Synthesis Procedure for Disturbance Decoupling with Local Input-to-State Stability in Discrete-Time Switching Linear Systems
    Zattoni, Elena
    2015 AMERICAN CONTROL CONFERENCE (ACC), 2015, : 1071 - 1076
  • [48] pth moment exponential input-to-state stability of nonlinear discrete-time impulsive stochastic delay systems
    Wu, Xuan
    Zhang, Yu
    INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL, 2018, 28 (17) : 5590 - 5604
  • [49] Input-to-state stability for a class of discrete-time nonlinear input-saturated switched descriptor systems with unstable subsystems
    Yunlong Liu
    Juan Wang
    Cunchen Gao
    Shuhong Tang
    Zairui Gao
    Neural Computing and Applications, 2018, 29 : 417 - 424
  • [50] Input-to-state stability for a class of discrete-time nonlinear input-saturated switched descriptor systems with unstable subsystems
    Liu, Yunlong
    Wang, Juan
    Gao, Cunchen
    Tang, Shuhong
    Gao, Zairui
    NEURAL COMPUTING & APPLICATIONS, 2018, 29 (07): : 417 - 424