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fu this paper, we have derived some sufficient conditions for existence and uniqueness of equilibrium and global exponential stability in delayed Hopfield neural networks by using a dif ferent approach from the usually used one where the existence, uniqueness of equilibrium and stability are proved in two separate steps, rather we first prove global exponential con vergence to 0 of the difference between any two solutions of the original neural networks, the existence and uniqueness of equilibrium is the direct results of this procedu re. We obtain the conditions by suitable construction of Lyapunov functions and es timation of deri vates of the Lyapunov functions by the well-known Young's inequality and Holder's inequality. The proposed conditions are related to p norms of vector or matrix, and thus unify and generalize some results in the literature.Keywords-global exponential stabilit y; delayed hopfield neural networks; p-norms 1.

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