title: Closed-form estimates of the domain of attraction for nonlinear systems via fuzzy-polynomial models.
abstract: In this paper, the domain of attraction of the origin of a nonlinear system is estimated in closed form via level sets with polynomial boundaries, iteratively computed. In particular, the domain of attraction is expanded from a previous estimate, such as 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 that bounds the domain of attraction, free from the usual restriction of being positive and decrescent in all the interior of its level sets.
authors.forename: José Luis
authors.initials: JL
authors.lastname: Pitarch
authors.forename: Antonio
authors.initials: A
authors.lastname: Sala
authors.forename: Carlos Vicente
authors.initials: CV
authors.lastname: Ariño