General Decay Synchronization of Delayed Complex-valued Neural Networks with Discontinuous Neuron Activations

In this paper, we studied the general decay synchronization control issue for a class of complex-valued neural networks with time-varying delays and discontinuous activation functions. First, the general decay stability lemma for nonlinear systems is introduced. Secondly, based on a new nonlinear feedback controller, some sufficient conditions for the considered system to realize general decay synchronization are established by constructing a suitable Lyapunov-Krasovskii functional. Finally, the feasibility of the obtained results are verified by numerical simulation.