Integral input-to-state stability of bilinear infinite-dimensional systems

被引：0

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：

2014 IEEE 53RD ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | 2014年

关键词：

bilinear systems; infinite-dimensional systems; integral input-to-state stability; Lyapunov methods; SMALL-GAIN THEOREM; ISS SYSTEMS; LYAPUNOV FUNCTIONS; STABILIZATION; NETWORKS; IISS;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We prove that uniform global asymptotic stability of bilinear infinite-dimensional control systems is equivalent to their integral input-to-state stability. Next we present a method for construction of iISS Lyapunov functions for such systems if the state space is a Hilbert space. Unique issues arising due to infinite-dimensionality are highlighted.

引用

页码：3155 / 3160

页数：6

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