In this paper, based on linear matrix inequality (LMI), by using Lyapunov functional theory, the exponential stability criterion is obtained for a class of uncertain Takagi-Sugeno fuzzy Hopfield neural networks (TSFHNNs) with time delays. Here we choose a generalized Lyapunov functional and introduce a parameterized model transformation with free weighting matrices to it, these techniques lead ...

In this paper, a new formula-based fuzzy proportional-integral (FPI) controller is proposed. This controller is based on the conventional proportional-integral (PI) controller. The proposed FPI controller has a linear structure similar to that of the conventional controller, and the operation of the proposed controller is based on analytical formulas. The structure is designed by using three me...

The main purpose of this paper is to use a new way to extend fuzzy implications $I$ from a generalized sublattice $M$ to a bounded lattice $L$, such that the extended implications preserve many of the considered properties of fuzzy implications on $M$.Furthermore, as a special case, we investigate the extension of $(S,N)-$implications. Results indicate that the extended implications preserve ma...

in this paper, we prove the generalized hyers--ulamstability of a quadratic and quartic functional equation inintuitionistic fuzzy banach spaces.

in this paper‎, ‎we show the stability of gustafson‎, ‎weidmann‎, ‎kato‎, ‎wolf‎, ‎schechter and browder essential spectrum of bounded linear operators on banach spaces which remain invariant under additive perturbations‎ ‎belonging to a broad classes of operators $u$ such $gamma(u^m)

We present a method for incremental modeling and time-varying control of unknown nonlinear systems. The combines elements evolving intelligence, granular machine learning, multi-variable control. propose State-Space Fuzzy-set-Based Modeling (SS-FBeM) approach. resulting fuzzy model is structurally parametrically developed from data stream with focus on memory coverage. controller also evolves, ...

Suppose we are given a mathematical programming problem in which the functional relationship between the decision variables and the objective function is not completely known. Our knowledge-base consists of a block of fuzzy if-then rules, where the antecedent part of the rules contains some linguistic values of the decision variables, and the consequence part is a linear combination of the cris...