Neural Processing Letters

, Volume 8, Issue 2, pp 99–106 | Cite as

Trajectory Control of Convergent Networks

  • N. Peterfreund
  • Y. Baram
Article

Abstract

We present a class of feedback control functions which increase the convergence rates of nonlinear dynamical systems. A simple sign function is used to obtain convergence in finite time. We describe a trajectory learning procedure which preserves the convergence property of the system. Based on the proposed feedback, we developed a new neural network model which converges in finite time.

dynamical neural networks feedback control finite time convergence Lasalle theorem learning trajectory control 

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References

  1. 1.
    H.D. Chiang and J.S. Thorp, “Stability regions of nonlinear dynamical systems: A constructive methodology”, IEEE Transactions on Automatic Control, Vol. 34, No. 12, pp. 1229–1241, 1989.Google Scholar
  2. 2.
    M.A. Cohen, “The construction of arbitrary stable dynamics in nonlinear neural networks”, Neural Networks, Vol. 5, pp. 83–103, 1992.Google Scholar
  3. 3.
    J.J. Hopfield, “Neurons with graded response have collective computational properties like those of two-state neurons”, Proc. Nath. Acad. Sci. USA, Vol. 81, pp. 3088–3092, 1984.Google Scholar
  4. 4.
    H.K. Khail, Nonlinear Systems, Prentice Hall, Upper Saddle River, NJ, 1996.Google Scholar
  5. 5.
    B.A. Pearlmutter, “Gradient calculations for dynamic recurrent neural networks: A survey”, IEEE Transactions on Neural Networks, Vol. 6, No. 5, pp. 1212–1228, 1995.Google Scholar
  6. 6.
    N.B. Toomarian and J. Barhen, “Learning a trajectory using adjoint functions and teacher forcing”, Neural Networks, Vol. 5, pp. 473–484, 1992.Google Scholar
  7. 7.
    M. Zak, “Terminal attractors in neural networks”, Neural Networks, Vol. 2, pp. 259–274, 1989.Google Scholar

Copyright information

© Kluwer Academic Publishers 1998

Authors and Affiliations

  • N. Peterfreund
    • 1
  • Y. Baram
    • 2
  1. 1.Oak Ridge National LabOak Ridge
  2. 2.Department of Computer Science, TechnionIsrael Institute of TechnologyHaifa o[32000Israel. Tel(USA)

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