The neural networks for solving the second-order cone program problems and their application

Yang Hong-mei · Journal of Xi'an Shiyou University · 2006

A class of second-order cone program problems are studied.The secondorder cone constraints are converted into smooth convex constraints using two smooth functions,and two new neural networks for solving the second-order cone program problems are presented.Under some mild conditions,it is proven that the proposed neural networks are stable in the sense of Lyapunov and they can converge to the solution of original problem in any precision.Some cases show the effectiveness of the proposed neural networks.

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