Title :
Zeros and periodicity for systems over finite fields
Author :
Smithberger, Gregory ; Wyman, Bostwick F.
Author_Institution :
Dept. of Math., Ohio State Univ., Columbus, OH, USA
Abstract :
The Kalman-module-theoretic framework is applied to the study of linear systems over finite fields. In particular, the authors focus on the internal and output characteristics of discrete-time, constant, single-input, single-output, linear, dynamical systems over a fixed finite field. The results presented give precise upper bounds for the period lengths of state orbits and output sequences
Keywords :
discrete time systems; linear systems; poles and zeros; Kalman module; SISO discrete time systems; dynamical systems; finite fields; linear systems; periodicity; system zeros; Automata; Control systems; Convolutional codes; Galois fields; Kalman filters; Linear systems; Mathematics; Poles and zeros; Sequential circuits; State-space methods;
Conference_Titel :
Decision and Control, 1988., Proceedings of the 27th IEEE Conference on
Conference_Location :
Austin, TX
DOI :
10.1109/CDC.1988.194441
