Stability conditions for a class of neutral systems with multiple time delays
type: Item
instance of: scholarly article
title: Stability conditions for a class of neutral systems with multiple time delays
zbMATH Open document ID: 0973.34066
author: Chang-Hua Lien
author: Ker-Wei Yu
author: Jer-Guang Hsieh
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-05-18T00:00:00Z
review text: The authors give delay-dependent and delay-independent criteria for the global uniform asymptotic stability of the autonomous neutral delay differential system \[ \dot x(t)= Ax(t)+ \sum^m_{k=1} [B_kx(t- h_k)+ C_k\dot x(t- h_k)], \] where \(h_k\), \(k= 1,\dots, m\), are nonnegative constants and \(A\) and each \(B_k\) and \(C_k\) are \(n\times n\)-matrices with real entries.
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1449161
zbMATH Keywords: asymptotic stability
zbMATH Keywords: delay
zbMATH Keywords: neutral equation
reviewed by: Mihály Pituk
MaRDI profile type: Publication
full work available at URL: jmaa.2000.6716
OpenAlex ID: W2072262947
cites work: Q4000387
cites work: Introduction to functional differential equations
cites work: Technical note Simple criteria for stability of neutral systems with multiple delays
cites work: Stability of functional differential equations
cites work: Delay differential equations: with applications in population dynamics
cites work: Exponential stability criterion for uncertain retarded systems with multiple time-varying delays
cites work: Sufficient conditions for the stability of interval systems with multiple time-varying delays
DOI: 10.1006/JMAA.2000.6716
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description: scientific article; zbMATH DE number 1449161