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Main Title: Stability analysis of implicit difference equations under restricted perturbations
Author(s): Mehrmann, Volker
Thuan, Do-Duc
Type: Research Paper
Abstract: The stability analysis for linear implicit m-th order difference equations is discussed. We allow the leading coefficient coefficient to be singular, i.e., we include the situation that the system does not generate an explicit recursion. A spectral condition for the characterization of asymptotic stability is presented and computable formulas are derived for the real and complex stability radii in the case that the coefficient matrices are subjected to structured perturbations.
Subject(s): implicit difference equation
asymptotic stability
structured perturbation
stability radius
strangeness-free system
positive system
Issue Date: 1-Oct-2014
Date Available: 17-Dec-2021
Language Code: en
DDC Class: 510 Mathematik
MSC 2000: 47A10 Spectrum, resolvent
34D99 None of the above, but in this section
Series: Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin
Series Number: 2014, 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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