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On uniqueness conditions for optimal curve fitting

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Abstract

We show that the standard uniqueness condition for an important class of optimal curve-fitting problems is equivalent to an observability condition on an associated dynamical model. This fact allows uniqueness to be checked by testing the rank of a matrix.

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References

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Authors and Affiliations

  1. Department of Electrical Engineering, The Johns Hopkins University, Baltimore, Maryland

    H. L. Weinert (Assistant Professor)

  2. Instituto de Investigaciones en Matematicas Aplicadas y en Sistemas, Universidad Nacional Autonoma de Mexico, Mexico City, Mexico

    G. S. Sidhu (Professor Investigador)

Authors
  1. H. L. Weinert
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  2. G. S. Sidhu
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Communicated by D. G. Luenberger

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Weinert, H.L., Sidhu, G.S. On uniqueness conditions for optimal curve fitting. J Optim Theory Appl 23, 211–216 (1977). https://doi.org/10.1007/BF00933048

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  • DOI: https://doi.org/10.1007/BF00933048

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