Projective synchronization of fuzzy memristive neural networks with pinning impulsive control

Abstract

This paper is concerned with the problems of projective synchronization for fuzzy memristive neural networks (FMNNs) with pinning impulsive control. At first, the mathematical model of FMNNs is formulated on the basis of Takagi-Sugeno (T-S) fuzzy rules. According to the physical properties of memristor, the fact of parameters mismatch is also considered between the master and slave systems. Then, through introducing a novel type of pinning impulsive controllers and applying the Lyapunov-Krasovskii functional (LKF) method, some corresponding weak projective synchronization criteria are constructed. In order to handle the difficulties of error system discontinuous, the extended comparison principle based on the formula for variation of parameters and Cauchy matrix of linear impulsive system are introduced. Furthermore, complete projective synchronization criteria are also discussed under some given conditions. Finally, two simulation examples are given to show the effectiveness and validity of the obtained results.