deposit_your_work

A behavioral approach to positive interpolation

Files in this item

Files Size Format View
1425848.PDF 5.165Mb application/pdf Thumbnail

Show full item record

Item Metadata

Title: A behavioral approach to positive interpolation
Author: Mayo, Andrew
Advisor: Antoulas, Athanasios
Degree: Master of Science thesis
Abstract: We study interpolation by positive functions from a behavioural point of view. In particular, by considering the notion of mirror image data, the interpolation problem with passivity constraint is transformed into an unconstrained behavioural modeling one. It will be shown that the generating system for this problem has to be unitary with respect to an indefinite matrix. Using this approach, several results in the theory of interpolation by positive functions are derived in a very natural manner. The use of generating systems leads in a natural way to the recent results obtained by Byrnes et al concerning parametrizing the set of interpolants by the spectral zeros. We then apply the same approach to interpolation on the boundary.
Citation: Mayo, Andrew. (2005) "A behavioral approach to positive interpolation." Masters Thesis, Rice University. http://hdl.handle.net/1911/17800.
URI: http://hdl.handle.net/1911/17800
Date: 2005

This item appears in the following Collection(s)