Eigenvalue and stability of singular differential delay systems
type: Item
instance of: scholarly article
title: Eigenvalue and stability of singular differential delay systems
zbMATH Open document ID: 1063.34052
author: Jiang Wei
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-10-01T00:00:00Z
review text: The author is concerned with the relationship between eigenvalues and stability for linear delay differential algebraic equations with constant coefficients and of the form \[ E\dot x(t)=Ax(t)+Bx(t-\tau) \] with a singular matrix \(E\). It is shown that if the matrix pencil \((A,E)\) is regular and \(BEE^d=EE^dB\) (where \(E^d\) denotes the Drazin inverse), the familiar results including the exponential estimate remain valid.
reviewed by: Werner M. Seiler
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34A09
zbMATH DE Number: 2105442
zbMATH Keywords: differential algebraic equation with delay
zbMATH Keywords: eigenvalue
zbMATH Keywords: stability
zbMATH Keywords: exact exponential estimate
MaRDI profile type: Publication
full work available at URL: j.jmaa.2004.05.008
OpenAlex ID: W2021689726
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DOI: 10.1016/J.JMAA.2004.05.008
description: scientific article; zbMATH DE number 2105442