Asymptotic stability for a class of delay differential inclusions
type: Item
instance of: scholarly article
title: Asymptotic stability for a class of delay differential inclusions
zbMATH Open document ID: 0884.34076
author: Dean A. Carlson
published in: Journal of Differential Equations
publication date: 1998-04-15T00:00:00Z
review text: Sufficient conditions are obtained for the asymptotic stability of an equilibrium for a class of finite delay-differential inclusions. This class includes inclusions in which the right-hand side is a closed, convex process. The results obtained are related to linear delay-differential equations. However, the conditions are sufficient but not necessary. The author has conjectured that if a condition in this paper is suitably modified, then the conditions become necessary as well as sufficient. Present results partially generalize earlier results of \textit{A. Leizarowitz} [SIAM J. Control Optimization 23, 514-522 (1985; Zbl 0574.49021)]. The paper ends with many interesting questions.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34A60
zbMATH DE Number: 1077175
zbMATH Keywords: asymptotic stability
zbMATH Keywords: finite delay-differential inclusions
MaRDI profile type: Publication
OpenAlex ID: W2000594595
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DOI: 10.1006/JDEQ.1997.3294
description: scientific article; zbMATH DE number 1077175