Name
Abstract | ||
|---|---|---|
This work generalises the line-integral Lyapunov function in (Rhee & Won, 2006) for stability analysis of continuous-time nonlinear models expressed as fuzzy systems. The referred result applied only to Takagi–Sugeno representations, and required memberships to be a tensor-product of functions of a single state; these are generalised here so that membership arguments can be arbitrary polynomials of the state variables; in this way, systems for which earlier results cannot be applied are now covered. Both the modelling and the integral terms appearing in the Lyapunov functions are generalised to a fuzzy polynomial case. Illustrative examples show the advantage of the proposed method against previous literature, even in the TS case. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1016/j.fss.2018.02.005 | Fuzzy Sets and Systems |
Keywords | Field | DocType |
Line-integral Lyapunov function,Fuzzy polynomial models,Sum of squares,Stability analysis,Nonlinear systems | Discrete mathematics,Applied mathematics,Lyapunov function,Nonlinear system,Polynomial,Fuzzy logic,State variable,Fuzzy control system,Mathematics | Journal |
Volume | ISSN | Citations |
356 | 0165-0114 | 2 |
PageRank | References | Authors |
0.36 | 23 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Temoatzin González | 1 | 31 | 3.60 |
| A. Sala | 2 | 562 | 33.44 |
| Miguel Bernal | 3 | 335 | 23.65 |