On the zero properties of linear discrete-time systems with multirate outputs

Mohsen Zamani; Brian D.O. Anderson

doi:10.1109/acc.2012.6314998

On the zero properties of linear discrete-time systems with multirate outputs

Mohsen Zamani^*, Brian D.O. Anderson

^*Corresponding author for this work

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

4 Citations (Scopus)

Abstract

In this paper the zero properties of discrete-time linear systems with multirate outputs are studied. In the literature the zero properties of these systems are defined as those of their corresponding time-invariant blocked systems. Hence, the focus is on the zero properties of blocked systems resulting from blocking of linear systems with multirate outputs. In particular, we study the zero properties of tall blocked systems under a generic setting i.e. for generic parameter matrices; moreover, we only study the zero properties for choice of finite zeros. We demonstrate that tall blocked systems generically have no finite nonzero zeros. We then show when tall blocked systems can generically be zero-free at the origin i.e. Z 0, and when they must have zeros at that point.

Original language	English
Title of host publication	2012 American Control Conference, ACC 2012
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	5182-5187
Number of pages	6
ISBN (Print)	9781457710957
DOIs	https://doi.org/10.1109/acc.2012.6314998
Publication status	Published - 2012
Event	2012 American Control Conference, ACC 2012 - Montreal, QC, Canada Duration: 27 Jun 2012 → 29 Jun 2012

Publication series

Name	Proceedings of the American Control Conference
ISSN (Print)	0743-1619

Conference

Conference	2012 American Control Conference, ACC 2012
Country/Territory	Canada
City	Montreal, QC
Period	27/06/12 → 29/06/12

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10.1109/acc.2012.6314998

Cite this

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title = "On the zero properties of linear discrete-time systems with multirate outputs",

abstract = "In this paper the zero properties of discrete-time linear systems with multirate outputs are studied. In the literature the zero properties of these systems are defined as those of their corresponding time-invariant blocked systems. Hence, the focus is on the zero properties of blocked systems resulting from blocking of linear systems with multirate outputs. In particular, we study the zero properties of tall blocked systems under a generic setting i.e. for generic parameter matrices; moreover, we only study the zero properties for choice of finite zeros. We demonstrate that tall blocked systems generically have no finite nonzero zeros. We then show when tall blocked systems can generically be zero-free at the origin i.e. Z 0, and when they must have zeros at that point.",

author = "Mohsen Zamani and Anderson, {Brian D.O.}",

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doi = "10.1109/acc.2012.6314998",

language = "English",

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series = "Proceedings of the American Control Conference",

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note = "2012 American Control Conference, ACC 2012 ; Conference date: 27-06-2012 Through 29-06-2012",

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Zamani, M & Anderson, BDO 2012, On the zero properties of linear discrete-time systems with multirate outputs. in 2012 American Control Conference, ACC 2012., 6314998, Proceedings of the American Control Conference, Institute of Electrical and Electronics Engineers Inc., pp. 5182-5187, 2012 American Control Conference, ACC 2012, Montreal, QC, Canada, 27/06/12. https://doi.org/10.1109/acc.2012.6314998

On the zero properties of linear discrete-time systems with multirate outputs. / Zamani, Mohsen; Anderson, Brian D.O.
2012 American Control Conference, ACC 2012. Institute of Electrical and Electronics Engineers Inc., 2012. p. 5182-5187 6314998 (Proceedings of the American Control Conference).

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

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N2 - In this paper the zero properties of discrete-time linear systems with multirate outputs are studied. In the literature the zero properties of these systems are defined as those of their corresponding time-invariant blocked systems. Hence, the focus is on the zero properties of blocked systems resulting from blocking of linear systems with multirate outputs. In particular, we study the zero properties of tall blocked systems under a generic setting i.e. for generic parameter matrices; moreover, we only study the zero properties for choice of finite zeros. We demonstrate that tall blocked systems generically have no finite nonzero zeros. We then show when tall blocked systems can generically be zero-free at the origin i.e. Z 0, and when they must have zeros at that point.

AB - In this paper the zero properties of discrete-time linear systems with multirate outputs are studied. In the literature the zero properties of these systems are defined as those of their corresponding time-invariant blocked systems. Hence, the focus is on the zero properties of blocked systems resulting from blocking of linear systems with multirate outputs. In particular, we study the zero properties of tall blocked systems under a generic setting i.e. for generic parameter matrices; moreover, we only study the zero properties for choice of finite zeros. We demonstrate that tall blocked systems generically have no finite nonzero zeros. We then show when tall blocked systems can generically be zero-free at the origin i.e. Z 0, and when they must have zeros at that point.

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DO - 10.1109/acc.2012.6314998

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BT - 2012 American Control Conference, ACC 2012

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2012 American Control Conference, ACC 2012

Y2 - 27 June 2012 through 29 June 2012

ER -

On the zero properties of linear discrete-time systems with multirate outputs

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