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

被引：992
|
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
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