TITLE: A methodological exhibition of the theory of the identification of Lineal Dynamic systems.

TITLE: A methodological exhibition of the theory of the identification of Lineal Dynamic systems. SUMMARY The important role of Mathematics in the scientific development of humanity is determined by the possibility of elaborating mathematical models of the objects studied in the different spheres of science. In other terms, it means, describing by means of the rigorous language of mathematics the properties and relationships of these objects, that in turn it allows the application of the rigorous and precise techniques of this science to the problems related with the study of the real objects facilitating this way the adquisition of conclusions on these and even to control their behavior. The application of these models and methods of mathematics have been increased significantly from the second half of the XX century, due to: the appearance and development of the calculation techniques, the introduction of the systemic focus in the sciences and the development of new branches that it constitutes the Modern Applied Mathematics. The fundamental objective of mathematics in the formation of specialists in the different branches of the science and technical areas is to establish that they are capable of applying the mathematical modelation and the calculation experiment, like new technology of the scientific work in all the spheres of the professional activity. To achieve this objective it is necessary to develop in the students abilities for: the application of logical forms of thinking, the application of the mathematical concepts in the description of the objects and relationships among the real objects and for the elaboration, selection and application of the most efficient algorithms for the computational solution of the outlined problems.[1] The identification theory and realization of the dynamic systems is a medullary aspect in the modern control theory that consists fundamentally in that, starting from the knowledge of the behavior entrance-exit, obtained experimentally in the case of the identification, or given previously in the case of the realization, to build a state model that carries out this behavior. This content is not generally treated in the pre-graduate courses, for the systems of multiple entrances and multiple exits. In this work it is demonstrated that the identification theory and realization of the lineal dynamic systems can be imparted in the technical careers starting from the results of Mathematical Analysis and Lineal Algebra received by the students in pre-graduate studies, without necessity of adding new contents in the programs of this …