Further equivalences and semiglobal versions of integral input to state stability

被引：64

作者：

Angeli, D ^{[1
]}

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：

DYNAMICS AND CONTROL | 2000年 / 10卷 / 02期

基金：

美国国家科学基金会;

关键词：

robustness; control; input/output stability; ISS; system gain; dissipation;

D O I：

10.1023/A:1008356223747

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 paper continues the study of the integral input-to-state stability (IISS) property. It is shown that the IISS property is equivalent to one which arises from the consideration of mixed norms on states and inputs, as well as to the superposition of a "bounded energy bounded state" requirement and the global asymptotic stability of the unforced system. A semiglobal version of IISS is shown to imply the global version, though a counterexample shows that the analogous fact fails for input to state stability (ISS). The results in this note complete the basic theoretical picture regarding IISS and ISS.

引用

页码：127 / 149

页数：23

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