Finite-time Synchronization of Delayed BAM Neural Networks with State-dependent Switching

Abstract

This paper mainly considers the finite-time synchronization (FNTS) of delayed bidirectional associative memory neural networks (BAMNNs) with state-dependent switching. First, the state-dependent switching parameters of BAMNNs are explained via the interval matrix method instead of differential inclusion theory and set-value map. Then, two similar state feedback controllers are designed due to the bilayer structure of the BAMNNs. By constructing Lyapunov function and applying the definition of FNTS and some inequality tricks, several sufficient conditions are obtained to ensure that the drive-response BAMNNs reach synchronization in finite time. In addition, the settling time (ST) of FNTS is obtained by simple calculations. Finally, the correctness of this paper is verified by numerical simulations.