relation: http://eprints.imtlucca.it/2453/
title: Polytopic outer approximations of semialgebraic sets
creator: Cerone, Vito
creator: Piga, Dario
creator: Regruto, Diego
subject: QA75 Electronic computers. Computer science
description: This paper deals with the problem of finding a polytopic outer approximation P* of a compact semialgebraic set S ⊆ Rn. The computed polytope turns out to be an approximation of the linear hull of the set S. The evaluation of P* is reduced to the solution of a sequence of robust optimization problems with nonconvex functional, which are efficiently solved by means of convex relaxation techniques. Properties of the presented algorithm and its possible applications in the analysis, identification and control of uncertain systems are discussed.
publisher: IEEE
date: 2012-12
type: Book Section
type: PeerReviewed
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/2453/1/CDC2013PreprintPiga2.pdf
format: application/pdf
language: en
identifier: http://eprints.imtlucca.it/2453/2/CDC2013Pres_Piga.pdf
identifier:   Cerone, Vito and Piga, Dario and Regruto, Diego  Polytopic outer approximations of semialgebraic sets.   In:  Proceedings of the 51st Annual Conference on Decision and Control (CDC).   IEEE, pp. 7793-7798.  ISBN 978-1-4673-2064-1      (2012)  
relation: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426221&isnumber=6425800
relation: 10.1109/CDC.2012.6426221