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控制理论与应用 2005
On the exponential stability of neural networks systems with time delays
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Abstract:
The exponential stability of Hopfield-type neural networks with time delays is analyzed by using the method of matrix measure,and sufficient conditions are obtained for general exponential stabilities.The system admits a unique equilibrium in which the output functions do not satisfy the Lipschitz conditions and neither requires them to be differential or strictly monotonously increasing.All the results still hold without assuming any symmetry of the connection matrix.Finally a numeric example is presented to verify the validity of these criteria.