On finite gain L P stability of nonlinear sampled-data systems

被引：31

作者：

Zaccarian, L ^{[1
]}

Teel, AR

Nesic, D

机构：

[1] Univ Roma Tor Vergata, Dipartimento Sistemi & Produz, I-00133 Rome, Italy

[2] Univ Calif Santa Barbara, Dept Elect & Comp Engn, Santa Barbara, CA 93106 USA

[3] Univ Melbourne, Dept Elect & Elect Engn, Parkville, Vic 3010, Australia

来源：

SYSTEMS & CONTROL LETTERS | 2003年 / 49卷 / 03期

关键词：

discrete-time; L (p) stability; sampled-data; nonlinear systems; time-varying;

D O I：

10.1016/S0167-6911(02)00324-9

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

It is shown that uniform global exponential stability of the input-free discrete-time model of a globally Lipschitz sampled-data time-varying nonlinear system with inputs implies finite gain L-p stability of the sampled-data system for all p is an element of [1, infinity]. This result generalizes results on L-p stability of sampled-data linear systems and it is an important tool for analysis of robustness of sampled-data nonlinear systems with inputs. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：201 / 212

页数：12

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