Dynamic system identification via recurrent multilayer perceptrons

  • Authors:
  • Xiaoou Li;Wen Yu

  • Affiliations:
  • Sección de Computación, Departamento de Ingeniería Eléctrica CINVESTA V-IPN. A.P. 14-740, Av.IPN 2508, Mexico D.F. 07360, Mexico;Departamento de Control Automatico, CINVESTAV-IPN, A.P. 14-740, Av.IPN2508, Mexico D.F. 07360, Mexico

  • Venue:
  • Information Sciences—Informatics and Computer Science: An International Journal
  • Year:
  • 2002

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Abstract

In this paper continuous-time recurrent multilayer perceptrons (RMLP) are proposed to identify nonlinear systems. Using the function approximation theorem for multilayer perceptrons (MLP), we conclude that RMLP can approximate any dynamic system in any degree of accuracy. By means of a Lyapunov-like analysis, a stable learning algorithm for RMLP is determined. The suggested learning algorithm is similar to the well-known backpropagation nile of the MLP but with an additional term which assure the stability of identification error.