Abstract
This paper considers the exponential synchronization for a class of coupled time-delayed neural networks with discontinuous activations. Based on differential inclusions theory, set-valued analysis, and by constructing suitable coupling function and Lyapunov function, designing a novel discontinuous controller, when the controller and activation functions are both discontinuous, the global exponential synchronization for the coupled neural networks can be achieved. Especially, we consider a new Lyapunov–Krasovskii functional which is time-dependent, and the results in this paper are applicable to the undirected weighted networks. Finally, to demonstrate the correctness of our results, a numerical example is provided to illustrate it. Our results extend previously known researches.
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