Modelagem matemática e teoria de controle finito-dmensional

Abstract

This work brings an approach to mathematical modeling that, in the context of as applied science, it explores a wealth of uses when mathematics comes to be seen as directly related to other fields of science and reality, while that the problems or curiosities that surround us are expressed in a language or mathematical model in order to provide practical and coherent solutions. Throughout the text we will see that a very developed application of mathemati#cal modeling is in control systems and that it has been going through time, there is about two centuries, offering models of physical model problems and optimization ac#cording to the need of the time, thus we open the chapter of the history of the Control. Finally, we will make a study about an integral criterion to determine whether A finite#dimensional control system is either controllable or uncontrollable.