Abstract
Abstract This paper investigates the general decay synchronization (GDS) of a type of neural networks (NNs) with general neuron activation functions and varying-time delays. By introducing suitable Lyapunov functional and employing useful inequality techniques, some simple and useful sufficient conditions ensuring the GDS of considered NNs are established via designing a novel nonlinear feedback controller. In addition, two examples are presented to show the effectiveness of the established theoretical results. The polynomial synchronization, asymptotical synchronization, and exponential synchronization can be seen the special cases of the GDS.
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