Title :
Three mathematical formalisms for discrete time linear feedback systems
Author :
Leithead, W.E. ; Ragnoli, E.
Author_Institution :
Strathclyde Univ., Glasgow
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.
Keywords :
discrete time systems; feedback; linear systems; Georgiou Smith paradox; discrete time linear feedback systems; mathematical formalisms; Communication systems; Control systems; Equations; Industrial control; Linear feedback control systems; Output feedback; Signal processing; Systems engineering and theory; Time domain analysis; USA Councils;
Conference_Titel :
Decision and Control, 2007 46th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
978-1-4244-1497-0
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2007.4434609
