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Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models
dc.contributor.author | Pitarch Pérez, José Luis | |
dc.contributor.author | Sala, Antonio | |
dc.contributor.author | Ariño Latorre, Carlos Vicente | |
dc.date.accessioned | 2015-06-19T14:33:11Z | |
dc.date.available | 2015-06-19T14:33:11Z | |
dc.date.issued | 2014-04 | |
dc.identifier.citation | PITARCH, Jose Luis; SALA, Antonio; ARINO, Carlos V. Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models. Cybernetics, IEEE Transactions on, 2014, vol. 44, no 4, p. 526-538. | ca_CA |
dc.identifier.issn | 2168-2267 | |
dc.identifier.uri | http://hdl.handle.net/10234/124484 | |
dc.description.abstract | In this work, the domain of attraction of the origin of a nonlinear system is estimated in closed-form via level sets with polynomial boundary, iteratively computed. In particular, the domain of attraction is expanded from a previous estimate, such as, for instance, a classical Lyapunov level set. With the use of fuzzy-polynomial models, the domain-of-attraction analysis can be carried out via sum of squares optimization and an iterative algorithm. The result is a function wich bounds the domain of attraction, free from the usual restriction of being positive and decrescent in all the interior of its level sets. | ca_CA |
dc.format.extent | 13 p. | ca_CA |
dc.format.mimetype | application/pdf | ca_CA |
dc.language.iso | eng | ca_CA |
dc.publisher | Institute of Electrical and Electronics Engineers (IEEE) | ca_CA |
dc.relation.isPartOf | IEEE Transactions on, 2014, vol. 44, no 4 | ca_CA |
dc.rights.uri | http://rightsstatements.org/vocab/CNE/1.0/ | * |
dc.subject | Local stability | ca_CA |
dc.subject | Sum of Squares | ca_CA |
dc.subject | nonlinear systems | ca_CA |
dc.subject | robust stability | ca_CA |
dc.subject | domain of attraction | ca_CA |
dc.subject | fuzzy polynomial systems | ca_CA |
dc.title | Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models | ca_CA |
dc.type | info:eu-repo/semantics/article | ca_CA |
dc.identifier.doi | http:\\dx.doi.org/10.1109/TCYB.2013.2258910 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | ca_CA |
dc.edition | Postprint | ca_CA |
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