Three Mathematical Formalisms for discrete time linear feedback systems

W.E. Leithead, E. Ragnoli

Research output: Contribution to conferencePaper

Abstract

The Georgiou Smith paradox is an inconsistency that occurs when the class of signals of a conventional Mathematical Formalism for Systems Theory is extended to double sided signals. In this work we introduce three different Mathematical Formalisms in order to recover consistency. The final one, the Framework using distributions, is proved to be consistent and to be suitable for the analysis of discrete time feedback systems.
LanguageEnglish
Pages1122-1127
Number of pages5
Publication statusPublished - 14 Dec 2007
Event46th IEEE Conference on Decision and Control - New Orleans, USA
Duration: 12 Dec 200714 Dec 2007

Conference

Conference46th IEEE Conference on Decision and Control
CityNew Orleans, USA
Period12/12/0714/12/07

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Leithead, W. E., & Ragnoli, E. (2007). Three Mathematical Formalisms for discrete time linear feedback systems. 1122-1127. Paper presented at 46th IEEE Conference on Decision and Control, New Orleans, USA, .
Leithead, W.E. ; Ragnoli, E. / Three Mathematical Formalisms for discrete time linear feedback systems. Paper presented at 46th IEEE Conference on Decision and Control, New Orleans, USA, .5 p.
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Leithead, WE & Ragnoli, E 2007, 'Three Mathematical Formalisms for discrete time linear feedback systems' Paper presented at 46th IEEE Conference on Decision and Control, New Orleans, USA, 12/12/07 - 14/12/07, pp. 1122-1127.

Three Mathematical Formalisms for discrete time linear feedback systems. / Leithead, W.E.; Ragnoli, E.

2007. 1122-1127 Paper presented at 46th IEEE Conference on Decision and Control, New Orleans, USA, .

Research output: Contribution to conferencePaper

TY - CONF

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AB - The Georgiou Smith paradox is an inconsistency that occurs when the class of signals of a conventional Mathematical Formalism for Systems Theory is extended to double sided signals. In this work we introduce three different Mathematical Formalisms in order to recover consistency. The final one, the Framework using distributions, is proved to be consistent and to be suitable for the analysis of discrete time feedback systems.

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Leithead WE, Ragnoli E. Three Mathematical Formalisms for discrete time linear feedback systems. 2007. Paper presented at 46th IEEE Conference on Decision and Control, New Orleans, USA, .