A direct frequency domain approach to stability of linear systems with time-varying delays

Emilia Fridman, Michael Gil

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

Abstract

The stability of linear systems with uncertain time-varying delays from given segments is analyzed. Under assumption that the system is stable for some known constant values of the delays, a sufficient stability condition is derived in terms of the system matrices and the lengths of the delay segments. Different from the existing frequency domain methods which usually apply the small gain theorem, the suggested approach is based on the direct application of the Laplace transform to the transformed system and on the bounding technique in L2. Numerical examples illustrate the efficiency of the method.

Original languageEnglish
Title of host publicationProceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
Pages1544-1547
Number of pages4
DOIs
StatePublished - 2005
Event20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05 - Limassol, Cyprus
Duration: 27 Jun 200529 Jun 2005

Publication series

NameProceedings of the 20th IEEE International Symposium on Intelligent Control, ISIC '05 and the 13th Mediterranean Conference on Control and Automation, MED '05
Volume2005

Conference

Conference20th IEEE International Symposium on Intelligent Control, ISIC '05 and the13th Mediterranean Conference on Control and Automation, MED '05
Country/TerritoryCyprus
CityLimassol
Period27/06/0529/06/05

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