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.
Keywords
- Interpolation Problem
- Hankel Operator
- Interpolation Condition
- Finite Rank Operator
- Rational Matrix Function
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Partially supported by the NSF Grant DMS-8701615-02.
Partially supported by the NSF Grant DMS-9000839.
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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
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