Global exponential synchronization of delayed reaction–diffusion complex-valued neural networks with leakage term and discontinuous activations

Exponential synchronization for a class of delayed discontinuous complex-valued neural networks (CVNNs) with leakage delay and diffusion effects is investigated in this paper. First, CVNNs are separated into real and imaginary parts, an equivalent real-valued subsystems are obtained for the analysis. Then, some novel and flexible algebraic criteria are established to ensure the exponential synchronization of the discontinuous CVNNs by designing feedback and adaptive control, which improves the control performance, and the control parameters are adjusted automatically. Compared with the previous research, the proposed neural network models are more practical and realistic, and the obtained results take into account the impacts brought by reaction diffusion, discontinuity activations, leakage delay and complex values simultaneously, and the research enrich the previously analysis. Finally, a numerical simulation is presented to verify the effectiveness and applicability of the developed theoretical results.