Delay-dependent stability and H ∞ control: Constant and time-varying delays

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-depe...

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Bibliographic Details
Published in:International journal of control 2003-01, Vol.76 (1), p.48-60
Main Authors: Fridman, E., Shaked, U.
Format: Article
Language:English
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Summary: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.
ISSN:0020-7179
1366-5820
DOI:10.1080/0020717021000049151