Contrôlabilité exacte et totale des systèmes linéaires en dimension finie

Abstract

Controllability is a very important concept in applied sciences, especially in en- gineering sciences. This Master’s thesis in Mathematics deals with the notion of controllability of linear differential systems in finite dimension. The thesis is composed of an Introduction, three Chapters and Perspectives. In the first chapter, we deal with the controllability of finite dimensional autonomous linear differential systems. In the second chapter, we deal with the controllability of autonomous linear differen- tial systems in finite dimension. In the second chapter, we deal with the controllability of nonautonomous linear dif- ferential systems in finite dimension. In the third chapter, we deal with the total controllability of finite dimensional linear differential systems. As Perspectives, the study of the controllability of non-linear differential systems in finite dimension will be a very interesting complement to this thesis.