Switched convergence of second-order switched homogeneous systems
type: Item
instance of: scholarly article
title: Switched convergence of second-order switched homogeneous systems
zbMATH Open document ID: 1296.34056
DOI: 10.1155/2013/472430
author: Carmen Pérez
author: Francisco Benítez
published in: Abstract and Applied Analysis
publication date: 2014-06-23T00:00:00Z
review text: Summary: This paper studies the stabilization of second-order switched homogeneous systems. We present results that solve the problem of stabilizing a switched homogeneous system; that is, we establish necessary and sufficient conditions under which the stabilization is assured. Moreover, given an initial condition, our method determines if there exists a switching law under which the solution converges to the origin and, if there exists this switching law, how it is constructed. Finally, two numerical examples are presented in order to illustrate the results.
Mathematics Subject Classification ID: 34A36
Mathematics Subject Classification ID: 34A45
Mathematics Subject Classification ID: 34D05
Mathematics Subject Classification ID: 34H15
zbMATH DE Number: 6306855
zbMATH Keywords: stabilization
zbMATH Keywords: switching law
Wikidata QID: Q58916352
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2013/472430
OpenAlex ID: W2066308668
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description: scientific article; zbMATH DE number 6306855