Training trajectories by continuous recurrent multilayer networks

  • Authors:
  • L. Leistritz;M. Galicki;H. Witte;E. Kochs

  • Affiliations:
  • Inst. of Med. Statistics, Comput. Sci. & Documentation, Friedrich-Schiller-Univ., Jena;-;-;-

  • Venue:
  • IEEE Transactions on Neural Networks
  • Year:
  • 2002

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Abstract

This paper addresses the problem of training trajectories by means of continuous recurrent neural networks whose feedforward parts are multilayer perceptrons. Such networks can approximate a general nonlinear dynamic system with arbitrary accuracy. The learning process is transformed into an optimal control framework where the weights are the controls to be determined. A training algorithm based upon a variational formulation of Pontryagin's maximum principle is proposed for such networks. Computer examples demonstrating the efficiency of the given approach are also presented