Fundamental Mathematical Methods

Goal: The main aim is to provide the Students with the most important mathematical methods on which the modern nonlinear control applications are based. Besides the purely mathematical point of view actual implementation issues are considered, too.

Course description: The beginning of the course, concentrates on mathematical methods. It shows the connections between classical math subjects (like calculus, linear algebra), and the modern nonlinear control theory. Then shows detailed examples, from theory to implementation, using two modern methods (VSSM, RFPT). The last part shows some another interesting example, how mathematics is related to computer science, like fractals, genetic algorithms, multidimensional scaling.