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.
|Number of pages||5|
|Publication status||Published - 14 Dec 2007|
|Event||46th IEEE Conference on Decision and Control - New Orleans, USA|
Duration: 12 Dec 2007 → 14 Dec 2007
|Conference||46th IEEE Conference on Decision and Control|
|City||New Orleans, USA|
|Period||12/12/07 → 14/12/07|
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, .