2024-03-19T08:44:57Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1244842020-05-20T09:20:19Zcom_10234_7034com_10234_9col_10234_8619
00925njm 22002777a 4500
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Pitarch Pérez, José Luis
author
Sala, Antonio
author
Ariño Latorre, Carlos Vicente
author
2014-04
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.
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.
2168-2267
http://hdl.handle.net/10234/124484
http:\\dx.doi.org/10.1109/TCYB.2013.2258910
Local stability
Sum of Squares
nonlinear systems
robust stability
domain of attraction
fuzzy polynomial systems
Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models