On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation

Mir Shahrouz Takyar; Tryphon T. Georgiou

doi:10.1109/CDC.2008.4739409

On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation

Mir Shahrouz Takyar, Tryphon T. Georgiou

Electrical and Computer Engineering

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Abstract

The parametrization of solutions to scalar interpolation problems with a degree constraint relies on the concept of spectral-zeros -these are the poles of the inverse of a corresponding spectral factor. In fact, under a certain degree constraint, the spectral-zeros are free (modulo a stability requirement) and parameterize all solutions. The subject of this paper is the multivariable analog of a Nehari-like analytic interpolation with a degree constraint. Our main result is based on Rosenbrock's pole assignability theorem and addresses the freedom in assigning the Jordan structure of the spectral-zero dynamics.

Original language	English (US)
Title of host publication	Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	971-976
Number of pages	6
ISBN (Print)	9781424431243
DOIs	https://doi.org/10.1109/CDC.2008.4739409
State	Published - 2008
Event	47th IEEE Conference on Decision and Control, CDC 2008 - Cancun, Mexico Duration: Dec 9 2008 → Dec 11 2008

Publication series

Name	Proceedings of the IEEE Conference on Decision and Control
ISSN (Print)	0743-1546
ISSN (Electronic)	2576-2370

Other

Other	47th IEEE Conference on Decision and Control, CDC 2008
Country/Territory	Mexico
City	Cancun
Period	12/9/08 → 12/11/08

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10.1109/CDC.2008.4739409

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Takyar, M. S., & Georgiou, T. T. (2008). On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008 (pp. 971-976). Article 4739409 (Proceedings of the IEEE Conference on Decision and Control). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CDC.2008.4739409

On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation. / Takyar, Mir Shahrouz; Georgiou, Tryphon T.
Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc., 2008. p. 971-976 4739409 (Proceedings of the IEEE Conference on Decision and Control).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Takyar, MS & Georgiou, TT 2008, On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation. in Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008., 4739409, Proceedings of the IEEE Conference on Decision and Control, Institute of Electrical and Electronics Engineers Inc., pp. 971-976, 47th IEEE Conference on Decision and Control, CDC 2008, Cancun, Mexico, 12/9/08. https://doi.org/10.1109/CDC.2008.4739409

Takyar MS, Georgiou TT. On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation. In Proceedings of the 47th IEEE Conference on Decision and Control, CDC 2008. Institute of Electrical and Electronics Engineers Inc. 2008. p. 971-976. 4739409. (Proceedings of the IEEE Conference on Decision and Control). doi: 10.1109/CDC.2008.4739409

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On the Jordan structure of the spectral-zero dynamics in multivariable analytic interpolation

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