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
收藏
页码：1035 / 1056
页数：22
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