A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems

W.E. Leithead, J. O'Reilly

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

4 Citations (Scopus)

Abstract

A framework for the consistent time-domain and frequency-domain representation of discrete-time linear time-invariant systems is established. As required, the class of signals constitute a linear space and the class of systems constitute an algebra of linear operators mapping the class of signals into itself. Furthermore, the inverses of the return difference operators exist and they themselves belong to the chosen class of systems. The formalism, amongst other things, supports the consistent analysis of discrete-time linear time-invariant feedback systems when signals are double-sided and the systems are open-loop unstable.
LanguageEnglish
Title of host publicationProceedings of the 2003 American Control Conference, 2003
PublisherIEEE
Pages429-434
Number of pages6
ISBN (Print)0-7803-7896-2
DOIs
Publication statusPublished - 2003

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Signal systems
Open systems
Algebra
Mathematical operators
Feedback

Keywords

  • frequency-domain representation
  • linear time-invariant feedback systems
  • linear operators

Cite this

Leithead, W.E. ; O'Reilly, J. / A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems. Proceedings of the 2003 American Control Conference, 2003. IEEE, 2003. pp. 429-434
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A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems. / Leithead, W.E.; O'Reilly, J.

Proceedings of the 2003 American Control Conference, 2003. IEEE, 2003. p. 429-434.

Research output: Chapter in Book/Report/Conference proceedingConference contribution book

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