Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models
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Other documents of the author: Pitarch Pérez, José Luis; Sala, Antonio; Ariño Latorre, Carlos Vicente
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Title
Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial modelsDate
2014-04xmlui.dri2xhtml.METS-1.0.item-edition
PostprintPublisher
Institute of Electrical and Electronics Engineers (IEEE)ISSN
2168-2267Bibliographic 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.Type
info:eu-repo/semantics/articleSubject
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 ... [+]
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. [-]
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IEEE Transactions on, 2014, vol. 44, no 4Rights
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info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
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