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

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.