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Metric Constrained Interpolation, Commutant Lifting and Systems

Name: Metric Constrained Interpolation, Commutant Lifting and Systems
Brand: Springer, Berlin
SKU: 01716354
Price: 98.42 EUR
Availability: InStock
Author: C. Foias
ISBN: 9783764358891

Jezik

Engleski

Knjiga Tvrdi uvez

Libristo kod: 01716354

Nakladnici Springer, Berlin, studeni 1997

This monograph combines the commutant lifting theorem for operator theory and the state space method... Cijeli opis

Libristo kod: 01716354

237 b

98.42 €

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This monograph combines the commutant lifting theorem for operator theory and the state space method from system theory to provide a unified approach for solving both stationary and nonstationary interpolation problems with norm constraints. Included are the operator-valued versions of the tangential Nevanlinna-Pick problem, the Hermite-Fejér problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, and their nonstationary analogues. The main results concern the existence of solutions, the explicit construction of the central solutions in state space form, the maximum entropy property of the central solutions, and state space parametrizations of all solutions. Direct connections between the various interpolation problems are displayed. Applications to H[infinity] control problems are presented. This monograph should appeal to a wide group of mathematicians and engineers. The material is self-contained and may be used for advanced graduate courses and seminars.