Finite-time synchronization of nonidentical BAM discontinuous fuzzy neural networks with delays and impulsive effects via non-chattering quantized control

Abstract

Considering the fact that the effects of both impulse and time delay are difficult to deal with in finite-time control area, this paper investigates finite-time synchronization (FTS) of drive-response BAM fuzzy neural networks (BAMFNNs) with time delays and impulsive effects. Moreover, it is assumed that the parameters of the coupled BAMFNNs are nonidentical and the activation functions are discontinuous, which makes the considered model more practical than existing ones. A simple but robust quantized controller is designed to overcome the difficulties induced by time delay, mismatched parameters, and impulses simultaneously. The quantized controller does not use the sign function which usually induces chattering phenomenon. By designing new Lyapunov functionals and proposing new analytical techniques, several sufficient conditions are obtained to ensure that nonidentical BAMFNNs achieve synchronization in a finite settling time. Adaptive control law is also designed to reduce the conservativeness of the control gains. Numerical simulations are provided to illustrate the effectiveness of theoretical analysis.