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Some extremal problems linked with indentification from partial frequency data

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Book cover Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 185))

Abstract

We aim at tackling a robust identification problem for a linear dynamical control system with incomplete frequency data. Its mathematical formulation is a generalization of dual extremal problems in H p to a subarc of the unit circle T. Specifically, if I is such a subarc and J its complement in T, we study existence and uniqueness of a H p function of bounded L p(J) norm which is a best approximation to a given function in L p(I). Finally, we consider the problem of computing the solution in the case p=2.

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Author information

Authors and Affiliations

  1. Department of Mathematics, Ben-Gurion University of the Negev, POB 653, 84105, Beer-Sheva, Israël

    Daniel Alpay

  2. INRIA, 2004 route des Lucioles, Sophia-Antipolis, 06565, Valbonne, France

    Laurent Baratchart & Juliette Leblond

Authors
  1. Daniel Alpay
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  2. Laurent Baratchart
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  3. Juliette Leblond
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Editor information

R. F. Curtain A. Bensoussan J. L. Lions

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© 1993 Springer-Verlag

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Alpay, D., Baratchart, L., Leblond, J. (1993). Some extremal problems linked with indentification from partial frequency data. In: Curtain, R.F., Bensoussan, A., Lions, J.L. (eds) Analysis and Optimization of Systems: State and Frequency Domain Approaches for Infinite-Dimensional Systems. Lecture Notes in Control and Information Sciences, vol 185. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0115054

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  • DOI: https://doi.org/10.1007/BFb0115054

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-56155-2

  • Online ISBN: 978-3-540-47480-7

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