Abstract
•Two new inequalities are developed to deal with the mismatched coefficients of the fuzzy part.•A simple but robust quantized state feedback controller is designed to overcome the effects of discontinuous activations, time delay, and nonidentical coefficients simultaneously. The designed control schemes do not utilize the sign function and can save channel resources. Moreover, novel non-chattering quantized adaptive controllers are also considered to reduce the control cost.•By utilizing 1-norm analytical technique and comparison system method, the effect of impulses on the FTS is well coped with.•Without utilizing the finite-time stability theorem in [16], several FTS criteria are obtained. Moreover, the settling time is explicitly estimated. Results of this paper can easily be extended to FTS of other classical delayed impulsive NNs with or without nonidentical coefficients.
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.