A behavioral view of Nevanlinna-Pick interpolation

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


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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.

Item Type: Conference or Workshop Item (Paper)
Additional Information: Event Dates: December 12-15, 2005
Divisions : Faculty of Physical Sciences and Engineering > Electronics and Computer Science > Southampton Wireless Group
ePrint ID: 264809
Accepted Date and Publication Date:
December 2005Published
Date Deposited: 13 Nov 2007 15:06
Last Modified: 31 Mar 2016 14:09
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/264809

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