Boundedness and stability for the solutions of impulsive neural networks with time-varying delay

By employing Lyapunov functions and Razumikhin techniques, we analyze the uniform boundedness and uniform asymptotic stability for a large class of impulsive neural networks with time-varying delay. Some new criteria are obtained to ensure the uniform boundedness and uniform asymptotic stability of the impulsive neural networks. The results remove the usual assumption that the activation functions fj(·) are of bounded, monotonous or differential character. Moreover, the time-varying delay function is not required to be differential. Therefore, the results which are easy to check and apply in practice, extend and improve the earlier publications.

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