Input-to-state stability for discrete-time nonlinear systems

被引：1036
|
作者：
Jiang, ZP [1 ]
Wang, Y
机构：
[1] Polytech Univ, Dept Elect & Comp Engn, Metrotech Ctr 6, Brooklyn, NY 11201 USA
[2] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA
来源：
AUTOMATICA | 2001年 / 37卷 / 06期
关键词：
nonlinear stability; discrete lime systems; Lyapunov functions; input-to-state stability; nonlinear small-gain;
D O I：
10.1016/S0005-1098(01)00028-0
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 work we study the input-to-state stability (ISS) property for discrete-time nonlinear systems. It is shown that most Iss results for continuous-time nonlinear systems in the current literature can be extended to the discrete-time case. Several equivalent characterizations of ISS are introduced and two ISS small-gain theorems are proved for nonlinear and interconnected discrete-time systems. ISS stabilizability is discussed and comparisons with the continuous-time case are made. As in the continuous time framework, where the notion Iss found wide applications, we expect that this notion will provide a useful tool in areas related to stability and stabilization for nonlinear discrete time systems as well. (C) 2001 Elsevier Science Ltd. All rights reserved.
引用
收藏
页码：857 / 869
页数：13
相关论文
共 50 条
  • [21] Fixed-Time Input-to-State Stabilization of Discrete-Time Systems
    Mazenc, Frederic
    Malisoff, Michael
    IEEE CONTROL SYSTEMS LETTERS, 2024, 8 : 2625 - 2630
  • [22] Input-to-state stability for discrete-time non-linear switched singular systems
    Lian, Jie
    Li, Can
    Liu, Dan
    IET CONTROL THEORY AND APPLICATIONS, 2017, 11 (16): : 2893 - 2899
  • [23] On input-to-state stability for time varying nonlinear systems
    Edwards, HA
    Lin, YD
    Wang, Y
    PROCEEDINGS OF THE 39TH IEEE CONFERENCE ON DECISION AND CONTROL, VOLS 1-5, 2000, : 3501 - 3506
  • [24] Analysis of input-to-state stability for discrete time nonlinear systems via dynamic programming
    Huang, SD
    James, MR
    Nesic, D
    Dower, PM
    AUTOMATICA, 2005, 41 (12) : 2055 - 2065
  • [25] Input-to-state stability of a class of discrete time descriptor systems
    Zhou Juan
    Li Jinghao
    PROCEEDINGS OF THE 2012 24TH CHINESE CONTROL AND DECISION CONFERENCE (CCDC), 2012, : 4260 - 4264
  • [26] Finite Time Input-to-State Stability of Discrete Time Autonomous Systems
    Mo, Yuanqiu
    Xing, Ran
    Hou, Huazhou
    Dasgupta, Soura
    IEEE CONTROL SYSTEMS LETTERS, 2023, 7 : 2539 - 2544
  • [27] Input-to-state stability for discrete-time switched systems by using Lyapunov functions with relaxed constraints
    Li, Huijuan
    AIMS MATHEMATICS, 2023, 8 (12): : 30827 - 30845
  • [28] Input-to-state stability and integral input-to-state stability of nonlinear impulsive systems with delays
    Chen, Wu-Hua
    Zheng, Wei Xing
    AUTOMATICA, 2009, 45 (06) : 1481 - 1488
  • [29] Input-to-state stability for discrete-time time-varying systems with applications to robust stabilization of systems in power form
    Laila, DS
    Astolfi, A
    AUTOMATICA, 2005, 41 (11) : 1891 - 1903
  • [30] 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
12345