A Lie-algebraic analysis of the problem of absolute stability

Michael Margaliot, Christos Yfoulis

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

The absolute stability problem (ASP) entails determining a critical parameter value for which a feedback system, composed of an nth-order linear system and a sector-bounded nonlinear function, loses its stability. The ASP is one of the oldest open problems in the theory of stability and control. Recently, it is attracting considerable interest, as solving it is equivalent to providing a necessary and sufficient condition for the stability of linear switched systems under arbitrary switching.

Original languageEnglish
Title of host publication2007 European Control Conference, ECC 2007
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages680-687
Number of pages8
ISBN (Electronic)9783952417386
DOIs
StatePublished - 2007
Event2007 9th European Control Conference, ECC 2007 - Kos, Greece
Duration: 2 Jul 20075 Jul 2007

Publication series

Name2007 European Control Conference, ECC 2007

Conference

Conference2007 9th European Control Conference, ECC 2007
Country/TerritoryGreece
CityKos
Period2/07/075/07/07

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