CHARACTERIZATIONS OF INTEGRAL INPUT-TO-STATE STABILITY FOR BILINEAR SYSTEMS IN INFINITE DIMENSIONS

被引：48

作者：

Mironchenko, Andrii ^{[1
]}

Ito, Hiroshi ^{[1
]}

机构：

[1] Kyushu Inst Technol, Dept Syst Design & Informat, 680-4 Kawazu, Iizuka, Fukuoka 8208502, Japan

来源：

MATHEMATICAL CONTROL AND RELATED FIELDS | 2016年 / 6卷 / 03期

关键词：

Bilinear systems; infinite-dimensional systems; integral input-to-state stability; Lyapunov methods; SMALL-GAIN THEOREM; ISS SYSTEMS; LYAPUNOV FUNCTIONS; NONLINEAR CONTROL; ROBUST STABILITY; IISS; STABILIZATION; CONSTRUCTION; NETWORKS;

D O I：

10.3934/mcrf.2016011

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For bilinear infinite-dimensional dynamical systems, we show the equivalence between uniform global asymptotic stability and integral input-to-state stability. We provide two proofs of this fact. One applies to general systems over Banach spaces. The other is restricted to Hilbert spaces, but is more constructive and results in an explicit form of iISS Lyapunov functions.

引用

页码：447 / 466

页数：20

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