Goal: The students will become familiar with the foundations of system theory. The subject
focuses on the description and analysis of linear dynamic systems. It provides an overview about
the description of the linear dynamic systems in the time domain, frequency domain and
complex frequency domain, investigates the connection between these domains and their
applications. Thorough the subject the basic techniques for system analysis are investigated
which can be applied to examine the steady state and stability of the system, effect of the
transients, connections between the components of the system and countereffects between them.
In the second part of the subject the discrete systems and their analysis in the time domain and
in the frequency domain are analyzed. The students become familiar with the foundations of
sampling and its applications. During the semester, the students will have enough knowledge to
analyze dynamical systems independently and get a solid basis to control engineering. The
theoretical and practical knowledge of the students are strengthened by using appropriate
examples as illustration.
Course description: Introduction, mathematical foundations, differential equations, steady
states, stability, frequency domain based description, characteristic functions, Bode-diagram,
Nyquist-diagram, connectivity of systems, stability of the closed loop, Laplace-transformation,
transfer function, basic terms, discrete systems, difference equations, fixed points, sampling,
Shannon’s theorem, z-transformation.