A small-gain theorem for a wide class of feedback systems with control applications

Iasson Karafyllis; Zhong Ping Jiang

doi:10.1137/060669310

A small-gain theorem for a wide class of feedback systems with control applications

Iasson Karafyllis, Zhong Ping Jiang

Electrical and Computer Engineering

Research output: Contribution to journal › Article

Abstract

A small-gain theorem, which can be applied to a wide class of systems that includes systems satisfying the weak semigroup property, is presented in the present work. The result generalizes all existing results in the literature and exploits notions of weighted, uniform, and nonuniform input-to-output stability properties. Applications to partial state feedback stabilization problems with sampled-data feedback applied with zero order hold and positive sampling rate are also presented.

Original language	English (US)
Pages (from-to)	1483-1517
Number of pages	35
Journal	SIAM Journal on Control and Optimization
Volume	46
Issue number	4
DOIs	https://doi.org/10.1137/060669310
State	Published - Dec 1 2007

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Keywords

Control systems
Input-to-output stability
Small-gain theorem

ASJC Scopus subject areas

Control and Optimization
Applied Mathematics

Cite this

Karafyllis, I., & Jiang, Z. P. (2007). A small-gain theorem for a wide class of feedback systems with control applications. SIAM Journal on Control and Optimization, 46(4), 1483-1517. https://doi.org/10.1137/060669310

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10.1137/060669310