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Identification of linear systems using long periods of observation

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Abstract

A new method is presented for identifying parameters in a linear differential system arising, e.g., from compartment models in drug kinetics. The linearity of the system is used to produce a series of recurrence relations that help reduce the computational load. The method is especially useful when a long period of observation is used to identify the parameters. Numerical experiments are described.

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References

  1. Krüger-Thiemer, E.,Formal Theory of Drug Dosage Regimes, Part 1, Journal of Theoretical Biology, Vol. 13, No. 2, 1966.

  2. Bellman, R.,Introduction to Matrix Analysis, McGraw-Hill Book Company, New York, 1960.

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  3. Bellman, R., andKalaba, R.,Quasilinearization and Nonlinear Boundary Value Problems, American Elsevier Publishing Company, New York, 1965.

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Authors and Affiliations

  1. Department of Electrical Engineering, University of Southern California, Los Angeles, California

    J. Buell (Research Associate) & R. Kalaba (Professor)

  2. Brain Research Institute, University of California at Los Angeles, Los Angeles, California

    E. Ruspini (Staff Member)

Authors
  1. J. Buell
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  2. R. Kalaba
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  3. E. Ruspini
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Additional information

This research was sponsored by the National Institutes of Health, Grant No. GM-16197-01. Computing assistance was obtained from the Health Sciences Computing Facility, sponsored by NIH Grant No. FR-3.

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Buell, J., Kalaba, R. & Ruspini, E. Identification of linear systems using long periods of observation. J Optim Theory Appl 5, 170–177 (1970). https://doi.org/10.1007/BF00927714

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  • DOI: https://doi.org/10.1007/BF00927714

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