Abstract
The main purpose of this chapter is to provide explicit state space formulas for the central solutions of the Nevanlinna-Pick, Sarason, Nehari, Nudelman and two block interpolation problems. The reader mainly interested in direct applications of these formulas can assume that the state space X is finite dimensional. The formulas are derived by applying the results in the previous chapter for these concrete cases. The corresponding H∞ and L2 bounds are given. Finally, state space formulas are given for the maximum entropy for some of these problems.
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© 1998 Springer Basel AG
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Foias, C., Frazho, A.E., Gohberg, I., Kaashoek, M.A. (1998). Central State Space Solutions. In: Metric Constrained Interpolation, Commutant Lifting and Systems. Operator Theory Advances and Applications, vol 100. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-8791-5_6
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DOI: https://doi.org/10.1007/978-3-0348-8791-5_6
Publisher Name: Birkhäuser, Basel
Print ISBN: 978-3-0348-9775-4
Online ISBN: 978-3-0348-8791-5
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