Unconditional stability for certain delay differential equations
type: Item
instance of: scholarly article
zbMATH Open document ID: 0869.34062
author: Baruch Cahlon
publication date: 1997-09-07T00:00:00Z
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K25
zbMATH DE Number: 982956
zbMATH Keywords: unconditional stability
zbMATH Keywords: linear delay-differential equations
zbMATH Keywords: asymptotically stable
MaRDI profile type: Publication
title: Unconditional stability for certain delay differential equations
published in: Dynamic Systems and Applications
review text: The author obtains sufficient conditions for the unconditional stability of the zero solution of \((n+1)\)th-order linear delay-differential equations of the form NEWLINE\[NEWLINE\omega^{(n+1)}(t)= \alpha\sum^n_{i=0} a_{n-i}w^{(i)}(t)+ (1-\alpha)\sum^n_{i=0} a_{n-i}w^{(i)}(t-\tau),\tag{\(*\)}NEWLINE\]NEWLINE where \(\tau>0\) is constant and \(0\leq\alpha\leq 1\). It may be recalled that the zero solution of \((*)\) is said to be unconditionally stable if, for any \(\tau\geq 0\), the zero solution is asymptotically stable. Several examples are given to illustrate the results obtained.
description: scientific article; zbMATH DE number 982956