DocumentCode :
3266934
Title :
Controllability and Reachability of Dynamic Discrete-Time Linear Systems
Author :
MolnÁr, SÁndor ; Szigeti, Ferenc
Author_Institution :
Department of Informatics, Szent Istvan University, Hungary
fYear :
2003
fDate :
12-12 June 2003
Firstpage :
350
Lastpage :
354
Abstract :
For discrete-time linear systems, controllability and reachability are not equivalent. Instead of the well-known Kalman´s rank condition, which characterizes reachability, controllability to origin of the time invariant, discrete-time linear system is equivalent to the Fuhrmann´s rank condition. In the first part of this paper we prove that controllability to origin of time varying discrete-time linear systems, under a difference-algebraic condition, is equivalent to a generalized Fuhrmann´s rank condition. In the second part we prove that reachability and observability for time varying discrete-time linear systems are equivalent to a structured Kalman´s rank condition, under the difference algebraic independence of the structure matrices.
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Control and Automation, 2003. ICCA '03. Proceedings. 4th International Conference on
Conference_Location :
Montreal, Que., Canada
Print_ISBN :
0-7803-7777-X
Type :
conf
DOI :
10.1109/ICCA.2003.1595043
Filename :
1595043
Link To Document :
بازگشت