Name
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. |
Year | DOI | Venue |
|---|---|---|
2014 | 10.1109/TCYB.2013.2258910 | IEEE transactions on cybernetics |
Keywords | Field | DocType |
optimisation,fuzzy set theory,domain of attraction analysis,robust stability,classical lyapunov level set,local stability,nonlinear systems,polynomial boundaries,fuzzy-polynomial models,fuzzy polynomial systems,iterative algorithm,domain of attraction closed-form estimate,polynomials,iterative computation,iterative methods,domain of attraction,sum of squares optimization,lyapunov methods,sum of squares | Lyapunov function,Mathematical optimization,Nonlinear system,Polynomial,Iterative method,Mathematical analysis,Sum-of-squares optimization,Fuzzy set,Attraction,Explained sum of squares,Mathematics | Journal |
Volume | Issue | ISSN |
44 | 4 | 2168-2275 |
Citations | PageRank | References |
10 | 0.54 | 15 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| J. L. Pitarch | 1 | 36 | 5.92 |
| A. Sala | 2 | 562 | 33.44 |
| Carlos Vicente Ariño | 3 | 10 | 0.54 |