Abstract

In this paper, a generalized updating rule (GUR) for the modified Hopfield neural network (MHNN) is presented for solving quadratic optimization problems. It is proved that in any sequence of updating modes, the GUR monotonously converges to a fixed point. The upper bound on the gradient of the energy function at the fixed point is given. All ordinary MHNN algorithms are instances of the GUR. It is shown that the class of wide sense sequential updating modes can guarantee the network to achieve local minimums of the energy function.

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