Quan-Fang Wang - Boundary Pointwise Control for Diffusion Hopfield Neural Network

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  Publication Details (including relevant citation   information):

  International Journal of Nanotechnology and Molecular Computation   Vol 2 (1), pp. 13-29, 2010. 


  For a close to practical neural network in biology field, in this   paper the  author address the diffusion Hopfield neural   network (HNN) with boundary  pointwise control. In the   framework of variational method at Hilbert space, the    theoretical study finds and characterizes the boundary optimal   control solution.  Furthermore, with the numerical approach   consist of finite element method (FEM)  and conjugate   gradient method (CGM), computational demonstration is   performed  for three neurons in two dimensions case. This   approach adequately interpreted  the effectiveness and   feasibility of the control process in a realistic  sense.

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