Title :
Minimal order time invariant representation of ω-periodic discrete systems
Author :
Misra, Pradeep ; Syrmos, Vassilis L.
Author_Institution :
Dept. of Electr. Eng., Wright State Univ., Dayton, OH, USA
Abstract :
A large number of results from linear time invariant system theory can be extended to periodic systems provided an equivalent time invariant system can be found. This paper presents a simple and numerically reliable procedure to achieve the same. It is shown that using a stacked representation of periodic systems, under system equivalence, a minimal order generalized state space description can always be obtained
Keywords :
discrete systems; modelling; state-space methods; time-varying systems; ω-periodic discrete systems; linear time-invariant system theory; minimal-order generalized state-space description; minimal-order time-invariant representation; system equivalence; Control theory; Difference equations; Digital filters; Eigenvalues and eigenfunctions; Matrix decomposition; Robust control; Sampled data systems; State-space methods; Time invariant systems; Time varying systems;
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.1995.480262
