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Nehari interpolation problem for rational matrix functions: The generic case

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H∞-Control Theory

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 1496))

Abstract

We study here a matrix Nehari problem, regarded as an interpolation problem, for the class of rational matrix functions. The interpolation data are assumed to be in a simple, but generic form. This allows us to present a self-contained exposition of the matrix Nehari problem, including criteria for solvability and description of all solutions. The proofs are based on the state-space method.

Partially supported by the NSF Grant DMS-8701615-02.

Partially supported by the NSF Grant DMS-9000839.

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References

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Author information

Authors and Affiliations

  1. Department of Mathematics, Virginia Tech, 24061, Blacksburg, Virginia

    Joseph A. Ball

  2. School of Mathematical Sciences, Tel-Aviv University, Tel-Aviv, Ramat-Aviv, Israel

    Israel Gohberg

  3. Department of Mathematics, College of William and Mary, 23187-8795, Williamsburg, Virginia

    Leiba Rodman

Authors
  1. Joseph A. Ball
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  2. Israel Gohberg
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  3. Leiba Rodman
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Editor information

Editors and Affiliations

  1. Dipartimento di Sistemi e Informatica, Università di Firenze, Via di Santa Marta 3, 1-50139, Firenze, Italy

    Edoardo Mosca

  2. Dipartimento di Matematica, Politecnico di Torino, Corso Duca degli Abruzzi, 24, I-10129, Torino, Italy

    Luciano Pandolfi

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© 1991 Springer-Verlag Berlin Heidelberg

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Ball, J.A., Gohberg, I., Rodman, L. (1991). Nehari interpolation problem for rational matrix functions: The generic case. In: Mosca, E., Pandolfi, L. (eds) H∞-Control Theory. Lecture Notes in Mathematics, vol 1496. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0084472

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  • DOI: https://doi.org/10.1007/BFb0084472

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-54949-9

  • Online ISBN: 978-3-540-46604-8

  • eBook Packages: Springer Book Archive

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