Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays
type: Item
instance of: scholarly article
title: Delay-range-dependent stabilization of uncertain dynamic systems with interval time-varying delays
zbMATH Open document ID: 1170.34054
author: O. M. Kwon
author: Ju H. Park
published in: Applied Mathematics and Computation
publication date: 2009-03-02T00:00:00Z
review text: Linear continuous-time control systems with variable coefficients and variable point delay in the state variables are considered. It is generally assumed that the system matrices are known with some uncertainties. Using Lyapunov functionals and linear matrix inequality, sufficient conditions for feedback stabilizability are formulated and proved. Simple numerical examples, which illustrate theoretical considerations are presented. Moreover, many remarks and comments on stabilization problems for delayed control systems are given. The relationships to the results existing in the literature are mentioned and discussed. Finally, it should be pointed out, that similar stabilization problems have been recently considered in the papers [\textit{J. H. Park} and \textit{O. Kwon}, Appl. Math. Comput. 162, No.~2, 627--637 (2005; Zbl 1077.34075)] and [\textit{P. G. Park} and \textit{J. W. Ko}, Stability and robust stability for systems with a time-varying delay. Automatica 43, No.~10, 1855--1858 (2007; Zbl 1120.93043)].
reviewed by: Jerzy Klamka
Mathematics Subject Classification ID: 34K35
Mathematics Subject Classification ID: 93C05
Mathematics Subject Classification ID: 93C23
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93D15
Mathematics Subject Classification ID: 34K06
zbMATH DE Number: 5522157
zbMATH Keywords: linear uncertain systems
zbMATH Keywords: time delay systems
zbMATH Keywords: feedback stabilization
zbMATH Keywords: Lyapunov's method
describes a project that uses: LMI toolbox
MaRDI profile type: Publication
full work available at URL: j.amc.2008.11.010
OpenAlex ID: W2105324881
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DOI: 10.1016/J.AMC.2008.11.010
description: scientific article; zbMATH DE number 5522157