Comments on integral variants of ISS

被引：695

作者：

Sontag, ED ^{[1
]}

机构：

[1] Rutgers State Univ, Dept Math, Piscataway, NJ 08854 USA

来源：

SYSTEMS & CONTROL LETTERS | 1998年 / 34卷 / 1-2期

关键词：

input-to-state stability; ISS; nonlinear stability; system gains;

D O I：

10.1016/S0167-6911(98)00003-6

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

This note discusses two integral variants of the input-to-state stability (ISS) property, which represent nonlinear generalizations of L-2 stability, in much the same way that ISS generalizes L-infinity stability. Both variants are equivalent to ISS for linear systems. For general nonlinear systems, it is shown that one of the new properties is strictly weaker than ISS, while the other one is equivalent to it. For bilinear systems, a complete characterization is provided of the weaker property. An interesting fact about functions of type KL is proved as well. (C) 1998 Elsevier Science B.V. All rights reserved.

引用

页码：93 / 100

页数：8

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