Construction of iISS Lyapunov functions for interconnected parabolic systems

被引：0

作者：

Mironchenko, Andrii ^{[1
,2
]}

Ito, Hiroshi ^{[1
]}

机构：

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

[2] Univ Passau, D-94032 Passau, Germany

来源：

2015 EUROPEAN CONTROL CONFERENCE (ECC) | 2015年

关键词：

SMALL-GAIN THEOREM; STATE STABILITY; INPUT;

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：

This paper develops tools to construct Lyapunov functions establishing integral input-to-state stability (iISS) and input-to-state stability (ISS) for several classes of nonlinear parabolic equations. Using these constructions and an infinite-dimensional iISS small-gain theorem we provide a stability criterion for interconnections of iISS parabolic systems. We show that for interconnections of partial differential equations it is essential to choose right state and input spaces, especially for iISS subsystems which are not ISS.

引用

页码：37 / 42

页数：6

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