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Main Title: Robust stability of differential-algebraic equations
Author(s): Du, Nguyen Huu
Linh, Vu Hoang
Mehrmann, Volker
Type: Research Paper
Abstract: This paper presents a survey of recent results on the robust stability analysis and the distance to instability for linear time-invariant and time-varying differential-algebraic equations (DAEs). Different stability concepts such as exponential and asymptotic stability are studied and their robustness is analyzed under general as well as restricted sets of real or complex perturbations. Formulas for the distances are presented whenever these are available and the continuity of the distances in terms of the data is discussed. Some open problems and challenges are indicated.
Subject(s): differential-algebraic equation
robust stability
stability radius
spectral set
restricted perturbation
Issue Date: 24-Oct-2012
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 93B35 Sensitivity
93D09 Robust stability
34A09 Implicit equations, differential-algebraic equations
34D10 Perturbations
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2012, 35
ISSN: 2197-8085
TU Affiliation(s): Fak. 2 Mathematik und Naturwissenschaften » Inst. Mathematik
Appears in Collections:Technische Universität Berlin » Publications

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