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Preprint 16-2013

Stability and robust stability of linear time-invariant delay differential-algebraic equations

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Author(s) : Nguyen Huu Du , Vu Hoang Linh , Volker Mehrmann , Do Duc Thuan

Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 16-2013

MSC 2000

06B99 None of the above, but in this section
34D99 None of the above, but in this section

Abstract :
Necessary and sufficient conditions for exponential stability of linear time invariant delay differential-algebraic equations (DDAEs) are presented. The robustness of this property is studied when the equation is subjected to structured perturbations and a computable formula for the structured stability radius is derived. The results are illustrated by several examples.

Keywords : delay differential-algebraic equation, strangeness-free DAE, exponential stability, spectral condition, restricted perturbation, stability radius

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