Row reduced representations of behaviors over finite rings

Margreta Kuijper, Raquel Pinto, Jan W. Polderman

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Abstract

Row reduced representations of behaviors over fields posses a number of useful properties. Perhaps the most important feature is the predictable degree property. This property allows a finite parametrization of the module generated by the rows of the row reduced matrix with prior computable bounds. In this paper we study row-reducedness of representations of behaviors over rings of the form $\mathbb{Z}_{p^r}$, where $p$ is a prime number. Using a restricted calculus within $\mathbb{Z}_{p^r}$ we derive a meaningful and computable notion of row-reducedness.
Original languageUndefined
Title of host publicationProceedings of the 46th IEEE Conference on Decision and Control
Place of PublicationUnited States
PublisherIEEE
Pages470-475
Number of pages6
ISBN (Print)1-4244-1498-9
DOIs
Publication statusPublished - 2007
Event46th IEEE Conference on Decision and Control, CDC 2007 - Hilton New Orleans Riverside, New Orleans, United States
Duration: 12 Dec 200714 Dec 2007
Conference number: 46

Publication series

Name
PublisherIEEE
Number7
ISSN (Print)0024-3795
ISSN (Electronic)1873-1856

Conference

Conference46th IEEE Conference on Decision and Control, CDC 2007
Abbreviated titleCDC
CountryUnited States
CityNew Orleans
Period12/12/0714/12/07

Keywords

  • Linear systems
  • finite rings
  • polynomial matrices
  • kernel representations
  • METIS-245955
  • row reduced
  • EWI-11750
  • IR-64588
  • Behaviors
  • predictable degree property

Cite this

Kuijper, M., Pinto, R., & Polderman, J. W. (2007). Row reduced representations of behaviors over finite rings. In Proceedings of the 46th IEEE Conference on Decision and Control (pp. 470-475). [10.1109/CDC.2007.4434686] United States: IEEE. https://doi.org/10.1109/CDC.2007.4434686
Kuijper, Margreta ; Pinto, Raquel ; Polderman, Jan W. / Row reduced representations of behaviors over finite rings. Proceedings of the 46th IEEE Conference on Decision and Control. United States : IEEE, 2007. pp. 470-475
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Kuijper, M, Pinto, R & Polderman, JW 2007, Row reduced representations of behaviors over finite rings. in Proceedings of the 46th IEEE Conference on Decision and Control., 10.1109/CDC.2007.4434686, IEEE, United States, pp. 470-475, 46th IEEE Conference on Decision and Control, CDC 2007, New Orleans, United States, 12/12/07. https://doi.org/10.1109/CDC.2007.4434686

Row reduced representations of behaviors over finite rings. / Kuijper, Margreta; Pinto, Raquel; Polderman, Jan W.

Proceedings of the 46th IEEE Conference on Decision and Control. United States : IEEE, 2007. p. 470-475 10.1109/CDC.2007.4434686.

Research output: Chapter in Book/Report/Conference proceedingConference contributionAcademicpeer-review

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Kuijper M, Pinto R, Polderman JW. Row reduced representations of behaviors over finite rings. In Proceedings of the 46th IEEE Conference on Decision and Control. United States: IEEE. 2007. p. 470-475. 10.1109/CDC.2007.4434686 https://doi.org/10.1109/CDC.2007.4434686