Allgemeine Angaben 





lecture with integrated exercises 












Allocations: 1  
eLearning[Provide new moodle course in current semester] 



Angaben zur Abhaltung 

Background materials on linear algebra: vector spaces, matrix theory: eigenvalues/vectors, Jordan form, CayleyHamilton theorem, singular value decomposition; Mathematical description of systems: existence and uniqueness theorems for ODEs, linear ODEs, matrix exponential, nonhomogeneous linear ODEs, statespace representations; Analysis of linear systems: stability, Lyapunov equations, controllability, observability; Realizations: realization theory, balanced realizations, minimum energy inputs; Design of linear systems: state feedback and state observers; 


Basic knowledge of differential equations and linear algebra are necessary. 


At the end of this class, students are able to understand modeling of dynamical systems and their representations. They are able to analyse the model, its stability, controllability, and observability. Finally, they are able to design controllers enforcing some performance criterion on the model. 




Lecture is designed as an interactive session. The materials are covered step by step from scratch under the participation of the students. Several examples are exercised during each session with hand calculations on the blackboard so that students can deeply understand the covered materials. 




Für die Anmeldung zur Teilnahme müssen Sie sich in TUMonline als Studierende*r identifizieren. 


Zusatzinformationen 

1 C. T. Chen: Linear System Theory and Design, Oxford University Press, 4th edition, 2012. 2 P. J. Antsaklis and A. N. Michel: A Linear Systems Primer, Springer, 2007. 




