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