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Please use this identifier to cite or link to this item: http://hdl.handle.net/123456789/12816

Title: Development of a Hopfield network for solving integral equations
Authors: Elshafiey, I.,
Udpa, L.
Udpa, S.S.
Keywords: Control Systems; Mathematical Techniques--Integral Equations
Issue Date: 1991
Publisher: Publ by IEEE, Piscataway, NJ, United States
Citation: Proceedings. IJCNN-91-Seattle: International Joint Conference on Neural Networks 1991, Pages 313-317
Abstract: The authors present a novel strategy for solving integral equations using a Hopfield type network. The major advantage of this strategy is the guaranteed convergence to the globally optimum solution ensured by the causality property of the network and the continuous nature of the feedback to each node. The algorithm consists of deriving the two function minimization equations, one for the energy function of the network and the other for the least squares solution of the discretized integral equation with appropriate regularization conditions. By comparing similar terms of the two equations the circuit parameters of the network are estimated. The network is then simulated for obtaining the solution of the integral equation. Initial simulation results are presented.
URI: http://hdl.handle.net/123456789/12816
Appears in Collections:College of Engineering

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