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-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 …
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 …
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.
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