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

被引：1060

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

页码：857 / 869

页数：13

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