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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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Open-loop unstable feedback systems with double-sided inputs : an explicit demonstration of self-consistency

Leithead, W.E. and Ragnoli, E. and O'Reilly, J. (2005) Open-loop unstable feedback systems with double-sided inputs : an explicit demonstration of self-consistency. In: Proceedings of the 44th IEEE Conference on Decision and Control, 2005 and 2005 European Control Conference. IEEE, pp. 5198-5203. ISBN 0-7803-9567-0

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Abstract

The standard formulation of linear shift-invariant feedback systems in the doubly infinite time axis setting lacks self-consistency with seemingly irreconcilable difficulties having been identified when the system is open-loop unstable. The available options for circumventing these difficulties for discrete-time SISO systems are highlighted and the manner in which they are exploited to obtain a self-consistent framework by reformulating the feedback systems in the space of distributions is clarified. In addition, it is explicitly demonstrated that causality and stability of a standard example are implied by the causality and stability of the equivalent system when reformulated in the self-consistent framework.