Title :
Mathematical system theory and digital control
Author :
Luzeaux, Dominique ; Antoniotti, Jean-François
Author_Institution :
ETCA, Arcueil, France
Abstract :
This paper is dedicated to the formal definition of a dynamical system controlled by a digital device. Starting from general considerations, we introduce the “natural” state space and turn then to its simplification using mathematical arguments. Finally we relate this state space to the common real space and show how the digital system theory proposed here encompasses the usual control theory
Keywords :
computational complexity; decidability; digital control; state-space methods; common real space; control theory; digital control; digital device; digital system theory; dynamical system control; formal definition; mathematical arguments; mathematical system theory; state space; Automata; Automatic control; Control systems; Control theory; Digital control; Digital systems; Discrete event systems; Encoding; History; State-space methods;
Conference_Titel :
System Theory, 1997., Proceedings of the Twenty-Ninth Southeastern Symposium on
Conference_Location :
Cookeville, TN
Print_ISBN :
0-8186-7873-9
DOI :
10.1109/SSST.1997.581569
