Metric Constrained Interpolation, Commutant Lifting and Systems

Name: Metric Constrained Interpolation, Commutant Lifting and Systems
SKU: 13234714
Price: 264.00 NZD
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Hardback

Series:

Operator Theory: Advances and Applications

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Description

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 tangential Nevanlinna-Pick problem, the Hermite-Fejer problem, the Nehari problem, the Sarason problem, and the two-sided Nudelman problem, adn their nonstationary analogues. The main results concern the existance 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 interpolations problems are displayed. Application to the 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.

Release date NZ

January 31st, 1997

Author

Audiences

Postgraduate, Research & Scholarly
Professional & Vocational
Undergraduate

Contributor

Volume editor Israel Gohberg

Country of Publication

Switzerland

Illustrations

references, index

Imprint

Birkhauser Verlag AG

Pages

600

Publisher

Birkhauser Verlag AG

Series

Operator Theory: Advances and Applications

ISBN-13

9783764358891

Product ID

13234714

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