Delay-dependent stability and H control: Constant and 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, we compare methods under different transformations and show the advantages of the descriptor one. We obtain new delay-dependent stability conditions for systems with time-varying delays 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
Pages (from-to)48-60
Number of pages13
JournalInternational Journal of Control
Volume76
Issue number1
DOIs
StatePublished - 10 Jan 2003

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