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The stability and convergence of the neural networks are the fundamentalcharacteristics in the Hopfield type networks. Since time delay is ubiquitousin most physical and biological systems, more attention is being made for thedelayed neural networks. The inclusion of time delay into a neural model isnatural due to the finite transmission time of the interactions. The stabilityanalysis of the neural networks depends on the Lyapunov function and hence itmust be constructed for the given system. In this paper we have made an attemptto establish the logarithmic stability of the impulsive delayed neural networksby constructing suitable Lyapunov function.

Existence and Global Logarithmic Stability of Impulsive Neural Networks with Time Delay