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Linear Fractional Transformations

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Directions in Mathematical Systems Theory and Optimization

Part of the book series: Lecture Notes in Control and Information Sciences ((LNCIS,volume 286))

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Abstract

A new formula for the linear fractional transformation of the Schur class by a J-inner matrix valued function is presented and applications to bitangential interpolation are outlined. Some of the surveyed results are connected with the role of Riccati equations in the the theory of reproducing kernel Hilbert spaces of the de Branges type.

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8.4 References

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Author information

Authors and Affiliations

  1. Department of Mathematics, The Weizmann Institute, Rehovot, 76100, Israel

    Harry Dym

Authors
  1. Harry Dym
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Editor information

Editors and Affiliations

  1. Department of Automatic Control, Lund Institute of Technology, Box 118, SE-221 00, Lund, Sweden

    Anders Rantzer

  2. School of Engineering and Applied Science, Washington University, One Brookings Drive, St. Louis, MO, 63130, USA

    Christopher I. Byrnes

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© 2003 Springer-Verlag Berlin Heidelberg

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Dym, H. (2003). Linear Fractional Transformations. In: Rantzer, A., Byrnes, C.I. (eds) Directions in Mathematical Systems Theory and Optimization. Lecture Notes in Control and Information Sciences, vol 286. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36106-5_8

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  • DOI: https://doi.org/10.1007/3-540-36106-5_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00065-5

  • Online ISBN: 978-3-540-36106-0

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