DocumentCode
3107873
Title
A behavioral view of Nevanlinna-Pick interpolation
Author
Pendharkar, I. ; Pillai, H.K. ; Rapisarda, P.
Author_Institution
Department of Electrical Engineering, Indian Institute of Technology Bombay Powai, Mumbai - 400 076, India.
fYear
2005
fDate
12-15 Dec. 2005
Firstpage
836
Lastpage
841
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.
Keywords
Circuit theory; Computer science; Frequency; Interpolation; Linearity; Robust control;
fLanguage
English
Publisher
ieee
Conference_Titel
Decision and Control, 2005 and 2005 European Control Conference. CDC-ECC '05. 44th IEEE Conference on
Print_ISBN
0-7803-9567-0
Type
conf
DOI
10.1109/CDC.2005.1582261
Filename
1582261
Link To Document