On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros

H.I. Nurdin; Arunabha Bagchi

doi:10.1109/CDC.2004.1429664

On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros

H.I. Nurdin, Arunabha Bagchi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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Abstract

In this paper, we study the rational covariance extension problem when the chosen pseudopolynomial of degree at most n has zeros on the boundary of the unit circle. In particular, we derive a necessary and sufficient condition for a solution to be bounded (i.e. has no poles on the unit circle). Furthermore, we propose a new procedure for computing all bounded solutions for this special case of zeros of pseudopolynomials on the boundary and illustrate it by means of two examples.

Original language	Undefined
Title of host publication	Proceedings 43rd IEEE Conference on Decision and Control
Place of Publication	Paradise Island, The Bahamas
Publisher	IEEE
Pages	5386-5391
Number of pages	6
ISBN (Print)	0-7803-8683-3
DOIs	https://doi.org/10.1109/CDC.2004.1429664
Publication status	Published - 2004
Event	43rd IEEE Conference on Decision and Control, CDC 2004 - The Atlantis, Paradise Island, Bahamas Duration: 14 Dec 2004 → 17 Dec 2004 Conference number: 43

Publication series

Name
Publisher	IEEE
Volume	5

Conference

Conference	43rd IEEE Conference on Decision and Control, CDC 2004
Abbreviated title	CDC
Country/Territory	Bahamas
City	Paradise Island
Period	14/12/04 → 17/12/04

Keywords

METIS-220420
IR-48704

Access to Document

10.1109/CDC.2004.1429664

rational_covariance_extension_-_nurdinFinal published version, 195 KB

Cite this

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Nurdin, HI & Bagchi, A 2004, On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros. in Proceedings 43rd IEEE Conference on Decision and Control. IEEE, Paradise Island, The Bahamas, pp. 5386-5391, 43rd IEEE Conference on Decision and Control, CDC 2004, Paradise Island, Bahamas, 14/12/04. https://doi.org/10.1109/CDC.2004.1429664

On the solutions of the rational covariance extension problem corresponding to pseudopolynomials having boundary zeros. / Nurdin, H.I.; Bagchi, Arunabha.
Proceedings 43rd IEEE Conference on Decision and Control. Paradise Island, The Bahamas: IEEE, 2004. p. 5386-5391.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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