Students are able to classify, describe and characterize systems based on their properties.
They understand the importance of relevant properties of dynamical systems (linearity, time invariance, stability, controllability, observability) for their analysis and can determine and evaluate them using mathematical methods (e.g. linear algebra). They are able to apply the presented methods to both continuous-time and discrete-time systems.
They are able to derive models for dynamical systems using appropriate mathematical methods and calculate system responses. They are familiar with the concept of state space and are able to build and solve state models for dynamical (including nonlinear) systems.
Students understand important properties of nonlinear systems and are able to apply methods to treat nonlinear systems (Lyapunov theory, phase plane, linearization).
Students are able to use MATLAB/Simulink software to create mathematical models of dynamical systems, simulate system responses, and display and analyze the resulting data.

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The module covers the following topics/contents:
Classification of systems

• System properties of LTI systems
• Mathematical description (modeling) of dynamic systems
• Analysis and characterization of continuous-time as well as discrete-time systems
• Introduction to nonlinear systems
• Stability of dynamical systems
• Method of state space
• Method of linearization
• Phase Plane Analysis, Limit Cycle
• Lyapunov Theory

The following literature is recommended as an example:

• P. Antsaklis, A. Michel, Linear Systems, ‎ Birkhäuser, 2005
• C. Chen, Linear System Theory and Design, Oxford University Press, 2009
• R. Dorf, R. Bishop, Modern Control Systems, 13th ed., Pearson Prentice Hall, 2017
• G. Franklin, J. Powell, A. Emami-Naeini, Feedback Control of Dynamic Systems, 8th ed., Pearson Education, 2020
• J. Slotine, Applied Nonlinear Control, Prentice-Hall, 1991
• H. K. Khalil, Nonlinear Systems, Prentice-Hall, 3rd ed., 2002

Lecture with integrated calculation exercises, exercises in class and independent exercises with MATLAB/Simulink, elaboration of a MATLAB/Simulink project

Integrated module examination
Immanent examination character: Active participation in class, protocols for MATLAB/Simulink exercises, homework, MATLAB/Simulink project, written or oral examination