Title :
Structural properties of linear periodic discrete-time systems: The polynomial approach
Author :
El Mrabet, Y. ; Bourlés, H.
Author_Institution :
ENS de Cachan, LURPA, France
Abstract :
Linear periodic discrete-time systems are analyzed. In particular, it is shown in this paper that the classical polynomial approach for linear time-invariant systems still holds for the study of the reachability and controllability of periodic systems. New definitions and properties are given in terms of skew polynomial rings and difference algebra. A necessary and sufficient condition for reachability and observability independent of time is established
Keywords :
controllability; discrete time systems; linear systems; observability; periodic control; polynomial matrices; time-varying systems; controllability; difference algebra; linear periodic discrete-time systems; necessary and sufficient condition; observability; polynomial approach; reachability; skew polynomial rings; structural properties; Algebra; Controllability; Difference equations; Feedback; Observability; Polynomials; State-space methods; Sufficient conditions; Time varying systems; Tin;
Conference_Titel :
Decision and Control, 1995., Proceedings of the 34th IEEE Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-2685-7
DOI :
10.1109/CDC.1995.478994
