Domination of Discrete Distributed Systems

Abstract

The domination is an original way for systems classification, based on input and output operators. In this paper, we consider first a class of controlled discrete distributed parameter systems (DPS). We extend the domination concept to these systems. By duality, we consider a classification for discrete observed systems, based on output operators. We give various characterizations and the main properties in the general case, and then by means of the choice of actuators and sensors.