Input-to-state stability with respect to inputs and their derivatives

被引：33

作者：

Angeli, D

Sontag, ED

Wang, Y

机构：

[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

[2] Rutgers State Univ, Dept Math, New Brunswick, NJ 08903 USA

[3] Florida Atlantic Univ, Dept Math, Boca Raton, FL 33431 USA

来源：

INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2003年 / 13卷 / 11期

关键词：

input-to-state stability; Lyapunov methods; dissipative systems; cascaded systems;

D O I：

10.1002/rnc.753

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A new notion of input-to-state stability involving infinity norms of input derivatives up to a finite order k is introduced and characterized. An example shows that this notion of stability is indeed weaker than the usual ISS. Applications to the study of global asymptotic stability of cascaded non-linear systems are discussed. Copyright (C) 2003 John Wiley Sons, Ltd.

引用

页码：1035 / 1056

页数：22

共 18 条

[1] Input-to-state stability of PD-controlled robotic systems [J].