New stability criteria for a class of neutral systems with discrete and distributed time-delays: An LMI approach.
type: Item
instance of: scholarly article
title: New stability criteria for a class of neutral systems with discrete and distributed time-delays: An LMI approach.
zbMATH Open document ID: 1043.93038
DOI: 10.1016/S0096-3003(03)00302-3
author: Jenq-Der Chen
published in: Applied Mathematics and Computation
publication date: 2004-03-29T00:00:00Z
review text: A linear neutral system with discrete and distributed time delays is considered: \[ \dot{x}(t)=Ax(t)+\sum_{i=1}^{m}[B_{i}x(t-h_{i})+C_{i}\dot{x}(t-h_{i})+D_{i}\int_{t-\tau_{i}} ^{t}x(s)ds],t\geq 0, \] \[ x(t)=\Phi(t),t\leq 0. \] New discrete-delay-independent (dependent) asymptotic stability sufficient conditions are obtained in terms of the spectral radius and LMI. A numerical example is given.
reviewed by: T. Tadumadze
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 34K40
Mathematics Subject Classification ID: 34K20
Mathematics Subject Classification ID: 93D20
Mathematics Subject Classification ID: 15A39
zbMATH DE Number: 2062842
zbMATH Keywords: neutral systems
zbMATH Keywords: time-delays
zbMATH Keywords: asymptotic stability
zbMATH Keywords: LMI
zbMATH Keywords: discrete systems
zbMATH Keywords: linear matrix inequality
zbMATH Keywords: spectral radius
describes a project that uses: Genocop
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 2062842