Stability and positive realness of time-delay systems
type: Item
instance of: scholarly article
title: Stability and positive realness of time-delay systems
zbMATH Open document ID: 0939.93034
author: Magdi S. Mahmoud
author: Lihua Xie
published in: Journal of Mathematical Analysis and Applications
publication date: 2000-09-12T00:00:00Z
review text: The positive realness of linear dynamical systems with state-delay is characterized in terms of linear matrix and algebraic Riccati inequalities. Implicit delay-dependent and delay-independent stability criteria are also proved.
reviewed by: Mihail Voicu
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C23
zbMATH DE Number: 1389231
zbMATH Keywords: linear matrix inequalities
zbMATH Keywords: positive realness
zbMATH Keywords: state-delay
MaRDI profile type: Publication
full work available at URL: jmaa.1999.6455
OpenAlex ID: W2027498666
cites work: Q3807934
cites work: Q4297032
cites work: Independent of delay stability criteria for uncertain linear state space models
cites work: Dynamic control of systems with variable state-delay
cites work: Delay-dependent robust stability and stabilization of uncertain linear delay systems: a linear matrix inequality approach
cites work: A System Theory Criterion for Positive Real Matrices
cites work: Solution to the positive real control problem for linear time-invariant systems
DOI: 10.1006/JMAA.1999.6455
description: scientific article; zbMATH DE number 1389231