Stability and H control of systems with time-varying delays

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Abstract

Three main model transformations were used in the past for delay-dependent stability. Recently a new (descriptor) model transformation has been introduced. In the present paper for systems with time-varying delays we obtain new delay-dependent stability conditions under descriptor model transformation. These conditions are written in terms of linear matrix inequalities. We also refine recent results on delay-dependent H control and extend them to the case of time-varying delays. Numerical examples illustrate the effectiveness of our method.

Original languageEnglish
Title of host publicationIFAC Proceedings Volumes (IFAC-PapersOnline)
EditorsGabriel Ferrate, Eduardo F. Camacho, Luis Basanez, Juan. A. de la Puente
PublisherIFAC Secretariat
Pages219-224
Number of pages6
Edition1
ISBN (Print)9783902661746
DOIs
StatePublished - 2002
Event15th World Congress of the International Federation of Automatic Control, 2002 - Barcelona, Spain
Duration: 21 Jul 200226 Jul 2002

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1
Volume15
ISSN (Print)1474-6670

Conference

Conference15th World Congress of the International Federation of Automatic Control, 2002
Country/TerritorySpain
CityBarcelona
Period21/07/0226/07/02

Keywords

  • Delay-dependent stability
  • H control
  • LMI
  • Time-delay systems

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