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A behavioral view of Nevanlinna-Pick interpolation

A behavioral view of Nevanlinna-Pick interpolation
A behavioral view of Nevanlinna-Pick interpolation
The classical Nevanlinna-Pick (NP) interpolation problem is about finding a rational function that satisfies given interpolation conditions, along with a norm condition. In this paper we address the NP problem using concepts from behavioral systems theory and quadratic differential forms (QDFs). The NP problem is solved using a certain “dualization of data”. We address system theoretic motivations for this dualization and the advantages gained in this process. Finally, we address the problem of constructing interpolating functions that satisfy a “frequency dependent” norm condition.
Pendharkar, Ishan
ee73b314-5c49-448d-a701-f8eb1d020450
Pillai, Harish K.
a9481f1b-a806-4814-8263-f63fc49e4fe8
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b
Pendharkar, Ishan
ee73b314-5c49-448d-a701-f8eb1d020450
Pillai, Harish K.
a9481f1b-a806-4814-8263-f63fc49e4fe8
Rapisarda, Paolo
79efc3b0-a7c6-4ca7-a7f8-de5770a4281b

Pendharkar, Ishan, Pillai, Harish K. and Rapisarda, Paolo (2005) A behavioral view of Nevanlinna-Pick interpolation. IEEE Conference on Decision and Control, , Seville, Spain. 12 - 15 Dec 2005.

Record type: Conference or Workshop Item (Paper)

Abstract

The classical Nevanlinna-Pick (NP) interpolation problem is about finding a rational function that satisfies given interpolation conditions, along with a norm condition. In this paper we address the NP problem using concepts from behavioral systems theory and quadratic differential forms (QDFs). The NP problem is solved using a certain “dualization of data”. We address system theoretic motivations for this dualization and the advantages gained in this process. Finally, we address the problem of constructing interpolating functions that satisfy a “frequency dependent” norm condition.

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More information

Published date: December 2005
Additional Information: Event Dates: December 12-15, 2005
Venue - Dates: IEEE Conference on Decision and Control, , Seville, Spain, 2005-12-12 - 2005-12-15
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 264809
URI: http://eprints.soton.ac.uk/id/eprint/264809
PURE UUID: 711f1008-cf24-41e0-a6a7-4ae6a83c3a3a

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Date deposited: 13 Nov 2007 15:06
Last modified: 14 Mar 2024 07:56

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Contributors

Author: Ishan Pendharkar
Author: Harish K. Pillai
Author: Paolo Rapisarda

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