Controllability of linear control systems on time scales: a survey

Abstract

A survey about approaches developed around the controllability of control systems on time scales is presented. Certain conventional dynamic models are described in the two parallel areas: continuous and discrete times. The results obtained in these two theories produce similar conclusions, but require different techniques for solving them. Then, it is important to create a technique that unifies these different times. Created by Stefan Hilger, the language of time scales seems to be an ideal tool for this purpose. Since that creation, many classical results of controllability were extended to this new theory and applied in mixed time control systems. In this chapter is presented the evolution of these results for linear control systems.