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A novel method for parameter optimization in two-dimensional dynamical models

Published: 21 April 2004 Publication History

Abstract

A new method is given to optimize parameters of a dynamical model by supplementing the conventional methods with a contractive mapping procedure. Numerical results indicate that the present method is more efficient than conventional methods.

References

[1]
{1} A. Ushida, T. Adachi, and L. O. Chua, Steady-state analysis of nonlinear circuits based on hybrid methods, IEEE Trans. Circuit Syst. I Vol 39, 1992, pp. 649-661.
[2]
{2} H. Q. Cao, L. S. Kang, T. Guo, Y. P. Chen and H. D. Garis, A two-level hybrid evolutionary algorithm for modeling one-dimentional dynamic systems by higher-order ODE models, IEEE Trans. Syst., Man, Cybern. Vol 30, 2000, pp. 351-357.
[3]
{3} E. Falkenauer, Genetic algorithms and grouping problems, John Wiley & Sons, Chichester, 1998.
[4]
{4} J. J. L. Lin, D. S. H. Wong and S. W. Yu, Optimal multiloop feedback design using simulated annealing and neural network, AlChE J. Vol. 41, 1995, pp. 430-434.
[5]
{5} T. C. E. Cheng and M. Y. Kovalyov, An unconstrained optimization problem is NP-hard given an oracle representation of its objective function: a technical note, Computers and Operations Research Vol. 29, 2002, pp. 2087-2091.
[6]
{6} R. Horst, P. M. Pardalos and N. V. Thoai, Introduction to global optimization, Kluwer Academic Publishers, Dordrecht, 2000.
[7]
{7} D. P. Bovet and P. Crescenzi, Introduction to the theory of complexity, Prentice Hall, New York, 1994.
[8]
{8} E. Zeidler, Applied Functional Analysis, Springer-Verlag, New York, 1995.
[9]
{9} W. H. Press, B. P. Flannery, S. A. Teukolsky and W. T. Vetterling, Numerical Recipes in C, Cambridge University Press, Cambridge, 1988.
[10]
{10} J. C. Lagarias, J. A. Reeds, M. H. Wright, P. E. Wright, Convergence properties of the Nelder-Mead simplex method in low dimensions, SIAM J. Optim. Vol. 9, 1998, pp. 112-147.
[11]
{11} F. H. Walters, L. R. Parker Jr., S. L. Morgan, S. N. Deming, Sequential Simplex Optimization, Chemometrics Series, CRC Press, Boca Raton, FL, 1991.
[12]
{12} R. M. Lewis, V. Torczon, M. W. Trosset, Direct search method: then and now, Journal of Computational and Applied Mathematics Vol. 124, 2000, 191-207.
[13]
{13} G. R. F. Krueger, K. Brigitte, J. D. Weldner, G. Tymister, A. Ramon, M. E. Brandt, G. Wang, L. M. Buja, Dynamics of active progressive infection with HIV1: data acquisition for computer modeling, In Vivo, Vol. 15, 2001, pp. 513-518.

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Published In

cover image Guide Proceedings
Math'04: Proceedings of the 5th WSEAS International Conference on Applied Mathematics
April 2004
336 pages
ISBN:9608052971
  • Editor:
  • Ralph W. Oberste-Vorth

Publisher

World Scientific and Engineering Academy and Society (WSEAS)

Stevens Point, Wisconsin, United States

Publication History

Published: 21 April 2004

Author Tags

  1. complexity
  2. contractive mapping
  3. parameter optimization

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