Metric Constrained Interpolation, Commutant Lifting and Systems (Hardcover)

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-FejA(c)r 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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Series:	Operator Theory: Advances and Applications, v. 103
Release date:	1997
First published:	February 1998
Authors:	Ciprian Foias
Volume editors:	Israel Gohberg
Authors:	A.E. Frazho • Israel Gohberg • M.A. Kaashoek
Dimensions:	235 x 165mm (L x W)
Format:	Hardcover
Pages:	600
ISBN-13:	978-3-7643-5889-1
Categories:	Books > Computing & IT > General theory of computing > Mathematical theory of computation Books > Computing & IT > General theory of computing > Systems analysis & design Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Professional & Technical > Electronics & communications engineering > Electronics engineering > Automatic control engineering > General
LSN:	3-7643-5889-0
Barcode:	9783764358891

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