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The Strathprints institutional repository is a digital archive of University of Strathclyde research outputs.

Strathprints serves world leading Open Access research by the University of Strathclyde, including research by the Strathclyde Institute of Pharmacy and Biomedical Sciences (SIPBS), where research centres such as the Industrial Biotechnology Innovation Centre (IBioIC), the Cancer Research UK Formulation Unit, SeaBioTech and the Centre for Biophotonics are based.

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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

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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.