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New conditions for dynamical behaviors of cellular neural networks with time-varying delays

In this paper, a model describing dynamics of cellular neural networks with time-varying delays is considered. Without assuming Lipschitz conditions on activation functions, by employing Brouwer's fixed point theorem and applying inequality technique, some new sufficient conditions on the existence, uniqueness and exponential stability of equilibrium point are obtained. Finally, two examples with their numerical simulations are provided to show the correctness of our analysis.