On the delay-independent stability of a delayed differential equation of 1st order
type: Item
instance of: scholarly article
title: On the delay-independent stability of a delayed differential equation of 1st order
zbMATH Open document ID: 0708.34068
DOI: 10.1016/0022-247X(89)90159-5
author: Takashi Amemiya
published in: Journal of Mathematical Analysis and Applications
publication date: 1989-01-01T00:00:00Z
review text: This paper deals with the delayed differential equation \(\dot x(t)=ax(t)+bx(t-\tau (t)),\) where x(t): \({\mathbb{R}}^+\to {\mathbb{R}}\), a and b are real constants, \(\tau\) (t) is a piecewise continuous real scalar function satisfying \(0\leq \tau (t)\leq \tau_ 0\). A necessary and sufficient condition on a, b and \(\tau_ 0\) for the global asymptotic stability of the differential equation is derived.
Mathematics Subject Classification ID: 34K20
zbMATH DE Number: 4163331
zbMATH Keywords: delayed differential equation
zbMATH Keywords: global asymptotic stability
reviewed by: Rudolf Scherer
MaRDI profile type: Publication
Wikidata QID: Q115364511
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full work available at URL: 0022-247x(89)90159-5
OpenAlex ID: W2064207788
description: scientific article; zbMATH DE number 4163331