4
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Reduced-Order System Identification Using The Karhunen-Loeve Transform

Pages 183-188 | Published online: 01 Sep 2016

References

  • D.A. Wilson, “Model Reduction for Multivariable Systems,” Int. J. Control, 29, 57-64.
  • B.C. Moore, “Principal Component Analysis in Linear Systems: Controllability, Observability, and Model Reduction,” IEEE Trans. Automatic Control., AC-26, (1), 17-32.
  • R.E. Skelton & A. Yousuff, “Component Cost Analysis of Large Scale Systems,” Int. J. Control, 37, 285-304.
  • D.C. Hyland & D.S. Bernstein, “The Optimal Projection Equations for Model Reduction and the Relationships Among the Methods of Wilson, Skelton, and Moore,” IEEE Trans, on Automatic Control, AC-30, (12), 1201-1211.
  • L. Ljung, System Identification: Theory for the User. Englewood Cliffs, NJ: Prentice-Hall, 1987.
  • T. Soderstrom & P. Stoica, System Identification. London: Prentice-Hall International, 1988.
  • F. Jabbari & J.S. Gibson, “Adaptive Identification of a Flexible Structure by Lattice Filters,” J. of Guidance, Control, and Dynamics, 12, 548-554.
  • H.C. Andrews & B.R. Hunt, Digital Image Restoration. Englewood Cliffs, NJ: Prentice-Hall, 1977.,
  • A.P. Sage & J.L. Melsa, Estimation Theory with Applications to Communications and Control. New York: McGraw-Hill, 1971.
  • L. Meirovitclt & H. Baruh, “Robustness of the Independent Modal-space Control Method,” J. of Guidance, Control, and Dynamics, 6, 20-25.
  • S. Watanabe, Pattern Recognition: Human and Mechanical. New York: John Wiley & Sons, 1985.
  • N. Wiener, Extrapolation, Interpolation, and Smoothing of Stationary Time Series. Cambridge, MA: The Technology Press of MIT, 1950.
  • J.B. Burl, “Estimating the Basis Functions of the Karhunen-Loeve Transform,” IEEE Trans, on Acoustics, Speech, and Signal Processing, 37, (1), 99-105.
  • R.E. Moore, Computational Functional Analysis. Chichester, England: Ellis Horwood Limited, 1985.
  • P.A. Businger, “Updating the Singular Value Decomposition,” BIT, 10, 376-385.
  • J.E. Marsden, Elementary Classical Analysis. New York: W. H. Freeman and Company, 1974.
  • L. Meirovitch, Computational Methods in Structural Dynamics. Alphen aan den Rijn, the Netherlands: Sijthoff & Noordhoff, 1980.
  • J.B. Burl, “Convergence of the Karhunen-Loeve Basis Functions to the Natural Modes for Vibrating Structures,” Unpublished Note, 1991.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.