The course deals with different description of dynamic systems - continuous, discrete, stochastic - state space and input-output description of them. Basic identification methods are introduced to show how to obtain the model of the system from the data. The next part of the course analyses the properties of the system - stability, reachability, observability and realizability. The last part of the course covers theory how to change the dynamical properties of the system - state space feedback, state observer and stabilizing controllers.