eprintid: 2453
rev_number: 9
eprint_status: archive
userid: 6
dir: disk0/00/00/24/53
datestamp: 2015-01-09 13:37:33
lastmod: 2015-01-09 13:37:33
status_changed: 2015-01-09 13:37:33
type: book_section
metadata_visibility: show
creators_name: Cerone, Vito
creators_name: Piga, Dario
creators_name: Regruto, Diego
creators_id: 
creators_id: dario.piga@imtlucca.it
creators_id: 
title: Polytopic outer approximations of semialgebraic sets
ispublished: pub
subjects: QA75
divisions: CSA
full_text_status: public
keywords: Approximation algorithms; Approximation methods; Linear programming; Optimization; Polynomials; Robust stability; Robustness

note: 51st IEEE Conference on Decision and Control, held in Maui, Hawaii (USA); December 10-13 2012
abstract: 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.
date: 2012-12
publisher: IEEE
pagerange: 7793-7798
event_title: Decision and Control (CDC), 2012 IEEE 51st Annual Conference on
id_number: 10.1109/CDC.2012.6426221
refereed: TRUE
isbn: 978-1-4673-2064-1
book_title: Proceedings of  the 51st Annual Conference on Decision and Control (CDC)
official_url: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=6426221&isnumber=6425800
citation:   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)  
document_url: http://eprints.imtlucca.it/2453/1/CDC2013PreprintPiga2.pdf
document_url: http://eprints.imtlucca.it/2453/2/CDC2013Pres_Piga.pdf