Please use this identifier to cite or link to this item: http://dx.doi.org/10.14279/depositonce-14553
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Main Title: Stability and robust stability of linear time-invariant delay differential-algebraic equations
Author(s): Du, Nguyen Huu
Linh, Vu Hoang
Mehrmann, Volker
Thuan, Do Duc
Type: Research Paper
URI: https://depositonce.tu-berlin.de/handle/11303/15780
http://dx.doi.org/10.14279/depositonce-14553
License: http://rightsstatements.org/vocab/InC/1.0/
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.
Subject(s): delay differential-algebraic equation
strangeness-free DAE
exponential stability
spectral condition
restricted perturbation
stability radius
Issue Date: 24-Jun-2013
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 06B99 None of the above, but in this section
34D99 None of the above, but in this section
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2013, 16
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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