Stability criteria for linear time-invariant systems with multiple delays
type: Item
instance of: scholarly article
title: Stability criteria for linear time-invariant systems with multiple delays
zbMATH Open document ID: 0982.34064
author: Bugong Xu
published in: Journal of Mathematical Analysis and Applications
publication date: 2001-02-11T00:00:00Z
review text: The author investigates the stability of the time-invariant system with multiple delays \[ x'(t)= A_0x(t)+ \sum^r_{k=1} A_k x(t- \tau_k),\quad t\geq 0. \] Here, \(x\in\mathbb{R}^n\), \(A_k\in \mathbb{R}^{n\times n}\), \(\tau_k> 0\). Two results are deduced for delay-dependent \(\alpha\)-stability and delay-independent asymptotic stability, respectively. Each of the results involves only one tuning parameter matrix \(P> 0\).
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 34K06
Mathematics Subject Classification ID: 34K35
zbMATH DE Number: 1563473
zbMATH Keywords: asymptotic stability
zbMATH Keywords: delay differential equations
zbMATH Keywords: Lyapunov stability
describes a project that uses: LMI toolbox
reviewed by: Stig-Olof Londen
MaRDI profile type: Publication
full work available at URL: jmaa.2000.7114
OpenAlex ID: W2031378215
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DOI: 10.1006/JMAA.2000.7114
description: scientific article; zbMATH DE number 1563473