Choice of conjunctive operator of TSK fuzzy systems and stability domain study

Mohamed Benrejeb, Anis Sakly, Kamel Ben Othman and Pierre Borne

Mathematics and Computers in Simulation (MATCOM), 2008, vol. 76, issue 5, 410-421

Abstract: This paper deals with the impact study of the choice of conjunctive operator between input variables of TSK fuzzy models, t-norm, on stability domain estimation. The approach is based on stability conditions issued from vector norms corresponding to a vector-Lyapunov function. In particular, for considered second-order TSK models we show that Zadeh's t-norm, logic product min, gives the largest estimation of stability domain.

Keywords: Continuous nonlinear systems; Takagi–Sugeno–Kang (TSK) fuzzy model; t-Norm; Stability domain; Vector norm; Arrow form matrix (search for similar items in EconPapers)
Date: 2008
References: View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378475407001668
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:matcom:v:76:y:2008:i:5:p:410-421

DOI: 10.1016/j.matcom.2007.04.003

Access Statistics for this article

Mathematics and Computers in Simulation (MATCOM) is currently edited by Robert Beauwens

More articles in Mathematics and Computers in Simulation (MATCOM) from Elsevier
Bibliographic data for series maintained by Catherine Liu ().