Date: 29 Sep 2005

Actuators and controllability of distributed systems

Abstract

The purpose of this paper is to show the link which exists between abstract concepts of the systems analysis and concrete notions of input output dynamical systems that is to say actuators and sensors. More precisely we are concerned by controllability and we recall abstract definitions of controllability and make a parallel with concrete definitions via actuators. The considered system is parabolic in the case of weak controllability and hyperbolic for exact controllability.