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Volume 22 Issue 5
Sep.  2000
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Liu Heping, Zhang Lanling, Sun Yikang . A CONTINUOUS TIME RECURRENT NEURAL NETWORK BASED METHOD TO SOLVE FUNCTIONAL MINIMIZATION PROBLEM[J]. Journal of Electronics & Information Technology, 2000, 22(5): 729-734.
Citation: Liu Heping, Zhang Lanling, Sun Yikang . A CONTINUOUS TIME RECURRENT NEURAL NETWORK BASED METHOD TO SOLVE FUNCTIONAL MINIMIZATION PROBLEM[J]. Journal of Electronics & Information Technology, 2000, 22(5): 729-734.

A CONTINUOUS TIME RECURRENT NEURAL NETWORK BASED METHOD TO SOLVE FUNCTIONAL MINIMIZATION PROBLEM

  • Received Date: 1998-11-30
  • Rev Recd Date: 1999-06-21
  • Publish Date: 2000-09-19
  • In this paper, the continuous time recurrent neural network is proposed to solve the functional minimization problem, which is often involved in estimation and control. At first, the continuous time BPTT algorithm corresponding to the problem is presented. Then,an on-line algorithm based on the amendments of the BPTT algorithm is discussed. This on-line algorithm paves the way for parallel realization.
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  • 叶庆凯,郑应干编著.变分法及其应用.国防工业出版社,1991.[2]Funahashi K,Nakamura Y.Approximation of dynamical systems by continuous time recurrent neural networks[J].Neural Network.1993,6:801-806[3]Rumelhart D E,Hinton G E,Williams R J.Learning internal representations by error propagation.in Parallel Distributed Processing.Rumelhart,D.E.,McClelland,J.L.Eds.,Cambridge,MA:M.I.T Press,1986. [4]Werbos P J.Backpropagation through time:What it does and how to do it,Proc.of IEEE,1990,78(10):1550-1560.[4]Pearlmutter B A.Learning state space trajectories in recurrent neural network,IEEE Proc.IJCNN,1989,2:365-372.[5]Sato M.A Learning algorithm to teach spatiotemporal patterns to recurrent neural networks[J].Biological Cybernetics.1990,62:259-263[6]Williams R J,Zipser D.A Learning algorithm for continually running fully recurrent neural networks.Neural Computation.1989,1(2):270-280.[7]Baldi P.Gradient learning algorithm overview:A general dynamical systems perspective.IEEE Trans.on Neural Networks.1995,6(1):182-195.
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