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

Du, Nguyen Huu; Linh, Vu Hoang; Mehrmann, Volker; Thuan, Do Duc

Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin

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.