Robust guaranteed cost control for uncertain linear differential systems of neutral type.
type: Item
instance of: scholarly article
title: Robust guaranteed cost control for uncertain linear differential systems of neutral type.
zbMATH Open document ID: 1049.93075
DOI: 10.1016/S0096-3003(02)00250-3
published in: Applied Mathematics and Computation
publication date: 2003-09-09T00:00:00Z
review text: The following differential system is considered: \[ \dot{x}(t)=A_{0}x(t)+A_{1}x(t-h)+ C\dot{x}(t-h)+f(t,x(t),x(t-h))+Bu(t), \] \[ x(t)=\varphi(t),\quad t\in[-h,0], \] with a feedback controller \[ u(t)=-B^{T}Px(t) \] and with the cost function \[ \int_{0}^{\infty}(x^{T}(t)Qx(t)+u^{T}(t)Su(t))\,dt. \] By the matrix inequality approach the author proves that the closed-loop system is robustly stable and that the closed-loop cost function value is not more than a specified upper bound for all admissible uncertainty and time delay.
reviewed by: T. Tadumadze
Mathematics Subject Classification ID: 93D21
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 34K40
zbMATH DE Number: 1978101
zbMATH Keywords: neutral systems
zbMATH Keywords: robust stability
zbMATH Keywords: robust guaranteed cost control
zbMATH Keywords: matrix inequalities
author: Ju H. Park
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
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full work available at URL: s0096-3003(02)00250-3
OpenAlex ID: W2129039563
description: scientific article; zbMATH DE number 1978101