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

Iasson Karafyllis, Zhong Ping Jiang

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 non-uniform Input-to-Output Stability (IOS) property. Applications to partial state feedback stabilization problems with sampled-data feedback applied with zero order hold and positive sampling rate, are also presented.

Original languageEnglish (US)
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages5368-5375
Number of pages8
ISBN (Electronic)9783952417386
StatePublished - 2007
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: Jul 2 2007Jul 5 2007

Publication series

Name2007 European Control Conference, ECC 2007

Other

Other2007 9th European Control Conference, ECC 2007
CountryGreece
CityKos
Period7/2/077/5/07

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ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Karafyllis, I., & Jiang, Z. P. (2007). Small-gain theorem for a wide class of feedback systems with control applications. In 2007 European Control Conference, ECC 2007 (pp. 5368-5375). [7068221] (2007 European Control Conference, ECC 2007). Institute of Electrical and Electronics Engineers Inc..