Explicit solutions to state-dependent scaling problems for interconnected iISS and ISS nonlinear systems

被引：5

作者：

Ito, H ^{[1
]}

机构：

[1] Kyushu Inst Technol, Dept Syst Innovat & Informat, Iizuka, Fukuoka 8208502, Japan

来源：

ACC: PROCEEDINGS OF THE 2005 AMERICAN CONTROL CONFERENCE, VOLS 1-7 | 2005年

关键词：

D O I：

10.1109/ACC.2005.1470625

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 addresses the problem of establishing global stability properties of nonlinear interconnected systems. The state-dependent scaling problem is presented as a unified mathematical formulation whose solutions explicitly provide Lyapunov functions proving stability properties of feedback and cascade systems. The framework covers diverse nonlinearities; represented by general supply rates. In order to let the state-dependent approach have real usefulness beyond formal applicability, this paper derives explicit formulas for solutions to statedependent scaling problems for integral input-to-state stable(iISS) systems and input-to-state stable(ISS) systems.

引用

页码：4131 / 4136

页数：6

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