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

Leithead, W.E. and O'Reilly, J.; (2003) A consistent time-domain and frequency-domain representation for discrete-time linear time-invariant feedback systems. In: Proceedings of the 2003 American Control Conference, 2003. IEEE, pp. 429-434. ISBN 0-7803-7896-2 (https://doi.org/10.1109/ACC.2003.1239040)

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.

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• Item metadata

  Item type:	Book Section
  ID code:	39506
  Dates:	Date Event 2003 Published
  Subjects:	Technology > Electrical engineering. Electronics Nuclear engineering
  Department:	Faculty of Engineering > Electronic and Electrical Engineering
  Depositing user:	Pure Administrator
  Date deposited:	03 May 2012 13:45
  Last modified:	08 Apr 2024 12:55
  URI:	https://strathprints.strath.ac.uk/id/eprint/39506