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.