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New Aspects in Interpolation and Completion Theories pp 157–202Cite as

Birkhäuser

On Mixed H2 - H∞ Tangential Interpolation

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Part of the book series: Operator Theory Advances and Applications ((OT,volume 64))

Abstract

The central solution for the commutant lifting theorem is used to solve mixed H2-H∞ tangential interpolation problems. These include an H2-H∞ tangential Carathéodory interpolation problem, an H2-H∞ tangential Nevanlinna-Pick interpolation problem and an H2-H∞ tangential Hermite-Fejer interpolation problem. Explicit computational formulas in terms of state space realizations are given.

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Authors and Affiliations

  1. School of Aeronautics and Astronautics, Purdue University, West Lafayette, IN, 47907, USA

    A. E. Frazho & S. M. Kherat

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  1. A. E. Frazho
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  2. S. M. Kherat
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Editors and Affiliations

  1. Raymond and Beverly Sackler Faculty of Exact Sciences School of Mathematical Sciences, Tel Aviv University, 69978, Tel Aviv, Israel

    I. Gohberg

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© 1993 Springer Basel AG

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Frazho, A.E., Kherat, S.M. (1993). On Mixed H2 - H∞ Tangential Interpolation. In: Gohberg, I. (eds) New Aspects in Interpolation and Completion Theories. Operator Theory Advances and Applications, vol 64. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8562-1_7

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  • DOI: https://doi.org/10.1007/978-3-0348-8562-1_7

  • Publisher Name: Birkhäuser, Basel

  • Print ISBN: 978-3-0348-9681-8

  • Online ISBN: 978-3-0348-8562-1

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