Robust stability analysis and synthesis for switched discrete-time systems with time delay
type: Item
instance of: scholarly article
title: Robust stability analysis and synthesis for switched discrete-time systems with time delay
zbMATH Open document ID: 1205.93119
DOI: 10.1155/2010/408105
author: Liguo Zhang
author: Hongfeng Li
author: Y. Chen
published in: Discrete Dynamics in Nature and Society
publication date: 2010-09-29T00:00:00Z
full work available at URL: https://eudml.org/doc/225461
review text: Summary: The problems of robust stability analysis and synthesis for a class of uncertain switched time-delay systems with polytopic type uncertainties are addressed. Based on the constructive use of an appropriate switched Lyapunov function, sufficient Linear Matrix Inequalities (LMIs) conditions are investigated to make such systems a uniform quadratic stability with an \(L_{2}\)-gain smaller than a given constant level. System synthesis is to design switched feedback schemes, whether based on state, output measurements, or by using dynamic output feedback, to guarantee that the corresponding closed-loop system satisfies the LMIs conditions. Two numerical examples are provided that demonstrate the efficiency of this approach.
Mathematics Subject Classification ID: 93D09
Mathematics Subject Classification ID: 93C30
Mathematics Subject Classification ID: 93C55
Mathematics Subject Classification ID: 93B50
zbMATH DE Number: 5793491
zbMATH Keywords: robust stability
zbMATH Keywords: synthesis
zbMATH Keywords: uncertain switched time-delay systems
zbMATH Keywords: linear matrix inequalities (LMIs)
zbMATH Keywords: uniform quadratic stability
zbMATH Keywords: switched feedback schemes
Wikidata QID: Q58650801
MaRDI profile type: Publication
OpenAlex ID: W2134252386
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description: scientific article; zbMATH DE number 5793491