Title :
I/O equations in discrete and continuous time
Author :
Wang, Yuan ; Sontag, Eduardo D.
Author_Institution :
Dept. of Math., Florida Atlantic Univ., Boca Raton, FL, USA
Abstract :
It is shown that for invertible (time-reversible) discrete-time systems there cannot be input/output high order difference equations of an order less than the dimension of observable realizations. This generalizes the authors´ previous analogous results for the continuous-time case. It is shown by examples that the reversibility condition cannot be weakened. Unified proofs with the continuous case are given
Keywords :
discrete time systems; I/O equations; continuous time; invertible discrete time systems; reversibility condition; Continuous time systems; Control systems; Difference equations; Discrete time systems; Mathematics; Plasma welding; Polynomials;
Conference_Titel :
Decision and Control, 1992., Proceedings of the 31st IEEE Conference on
Conference_Location :
Tucson, AZ
Print_ISBN :
0-7803-0872-7
DOI :
10.1109/CDC.1992.370968
