Impulsive stabilization of two kinds of second-order linear delay differential equations.
type: Item
instance of: scholarly article
title: Impulsive stabilization of two kinds of second-order linear delay differential equations.
zbMATH Open document ID: 1047.34098
author: Xiang Li
author: Peixuan Weng
published in: Journal of Mathematical Analysis and Applications
publication date: 2004-03-14T00:00:00Z
review text: This paper presents interesting results on exponential stabilization by impulses. The authors consider two kinds of nonimpulsive second-order equations which can be unstable (see examples). Then, under the action of preassigned moments of impulse and some hypotheses, they prove that an exponential stable solution can be obtained by the method of Lyapunov functionals. In particular, the results apply to the case when the times of impulse action are periodic.
reviewed by: M. Federson
Mathematics Subject Classification ID: 34K45
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 2056511
zbMATH Keywords: exponential stabilization by impulses
zbMATH Keywords: second-order impulsive equations
zbMATH Keywords: Lyapunov functionals
MaRDI profile type: Publication
full work available at URL: j.jmaa.2003.11.002
OpenAlex ID: W2094606452
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DOI: 10.1016/J.JMAA.2003.11.002
description: scientific article; zbMATH DE number 2056511