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Mathematical Problems in Engineering
Volume 2009, Article ID 801475, 21 pages
http://dx.doi.org/10.1155/2009/801475
Research Article

A Bayes Estimator of Parameters of Nonlinear Dynamic Systems

State Institute of Aviation Systems, Physical-Technical Institute, Russia

Received 28 November 2008; Revised 28 February 2009; Accepted 18 May 2009

Academic Editor: David Chelidze

Copyright © 2009 I. A. Boguslavsky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. O. Cappé, E. Moulines, and T. Rydén, Inference in Hidden Markov Models, Springer Series in Statistics, Springer, New York, NY, USA, 2005. View at Zentralblatt MATH · View at MathSciNet
  2. V. Klein and A. G. Morelli, Aircraft System Identification: Theory and Methods, AIAA, 2006.
  3. L. Lenart, System Identification: Theory for the USER, Prentice-Hall, Englewood Cliffs, NJ, USA, 1987.
  4. M. I. Ribeiro, Kalman and Extended Kalman Filter: Concept , Derivation and Propertis, Institute foe Systems and Robotics Instituto Superior, 2004.
  5. N. J. Gordon, D. J. Salmond, and A. F. M. Smith, “Novel approach to nonlinear/non-gaussian Bayesian state estimation,” IEE Proceedings, Part F, vol. 140, no. 2, pp. 107–113, 1993. View at Google Scholar
  6. A. Doucet, S. Godsill, and C. Andrieu, “On sequential Monte Carlo sampling methods for Bayesian filtering,” Statistics and Computing, vol. 10, no. 3, pp. 197–208, 2000. View at Publisher · View at Google Scholar
  7. A. Doucet, N. de Freitas, and N. Gordon, Eds., Sequential Monte Carlo Methods in Practice, Statistics for Engineering and Information Science, Springer, New York, NY, USA, 2001. View at MathSciNet
  8. B. Ristic, S. Arulampalam, and N. Gordon, Beyond the Kalman Filter: Particle Filters for Tracking Applications, Artech House, Boston, Mass, USA, 2004.
  9. S. J. Ghosh, C. S. Manohar, and D. Roy, “A sequential importance sampling filter with a new proposal distribution for state and parameter estimation of nonlinear dynamical systems,” Proceedings of The Royal Society of London. Series A, vol. 464, no. 2089, pp. 25–47, 2008. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  10. V. Namdeo and C. S. Manohar, “Nonlinear structural dynamical system identification using adaptive particle filters,” Journal of Sound and Vibration, vol. 306, no. 3-5, pp. 524–563, 2007. View at Publisher · View at Google Scholar · View at MathSciNet
  11. J. A. Boguslavskiy, “A Bayes estimations of nonlinear regression and adjacent problems,” Journal of Computer and Systems Sciences International, vol. 4, pp. 14–24, 1996. View at Google Scholar
  12. J. A. Boguslavskiy, “Integrated method of the numerical decision of the algebraic equations,” Applied Mathematics and Computation, vol. 166, no. 2, pp. 324–338, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  13. J. A. Boguslavskiy, Polynomial Approximations for Nonlinear Problems of Estimation and Control, MAIK, Fizmat, Russia, 2006.
  14. I. A. Boguslavskiy, “Method for the non-linear identification of aircraft parameters by testing maneuvers,” in Proceedings of the International Conference on Numerical Analysis and Applied Mathematics (AIP '08), vol. 1048, pp. 92–99, 2008. View at Publisher · View at Google Scholar
  15. M. H. Stone, “Applications of the theory of Boolean rings to general topology,” Transactions of the American Mathematical Society, vol. 41, no. 3, pp. 375–481, 1937. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. K. Lantratov, “Optiko-elektronnyj a complex of monitoring of a space,” “WINDOW” News cosmic, 2002.
  17. S. V. Konstantinov, P. G. Redko, and S. A. Ermakov, Electric-Hydraulic Steering Drives of Control Systems of Flight, Janus-K, Moscow, Russia, 2006.