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