Lecture Course SS2013

In the summer term 2013 I will offer a lecture course

Linear Systems Theory

(2h lectures, 1h tutorial). For bachelor students, it is part of the module B8 Ergänzungsvorlesungen; for master students it belongs to the module M8 Ergänzungsvorlesungen II. The course will be taught in English.

Systems theory represents the mathematical side of what engineers usually call control theory. It goes beyond the mere simulation of a mechanical or electrical system for given initial data, as it incorporates "inputs" for steering the system on the basis of "outputs" providing information about the "state" of the system. A fundamental question is whether it is possible to choose the inputs in such a way that the system shows a desired behaviour. In this introductory course, we will consider systems described by linear autonomous systems of ordinary differential equations for which many problems can be reduced to questions in linear algebra. Prerequisites are only the basic courses in analysis and linear algebra; familiarity with ordinary differential equations is of advantage but not required.


  • T. Kailath: Linear Systems, Prentice-Hall
  • H.W. Knobloch, H. Kwakernaak: Lineare Kontrolltheorie, Springer
  • J.W. Polderman, J.C. Willems: Introduction to Mathematical Systems Theory, Springer
  • E.D. Sontag: Mathematical Control Theory, Springer
  • W.M. Wonham: Linear Multivariable Control, Springer
  • E. Zerz: Introduction to Systems and Control Theory, Lecture Notes, RWTH Aachen

Lecture dates:

Time/Room: Tuesday 09:00-11:00, HPS 1403
Start: April, 23th (second week of summer term!)
There will be no lectures on May 7th and June 25th. Instead there will be two lectures on Monday June 10th and June 17th; both 15:00-17:00 in room 0421.


The tutorials will be given by myself. They take place Tuesday, 08:00-09:00, in room 2420 and start on April, 30th.

Home, Last update: Mon 8. July 18:58:15 CEST 2013