78764 - System Theory M

Course Unit Page

Academic Year 2018/2019

Learning outcomes

The course will provide students with the fundamental tools for the analysis of multivariable dynamic systems and their structural properties. Basic tools of system theory will be introduced. The main topics of the course are related to possible representation of dynamic linear systems, structural properties (stability, observability, controllability), special normal forms, Kalman decomposition, and others. At the end of the course students master all the basic principles of system theory by studying in a systematic way properties of multivariable dynamic systems.

Course contents

  • Dynamic systems representation
  • Stability of linear systems
  • Reachability and controllability
  • Observability and reconstructability


  • H. Khalil, ``Nonlinear Systems'', Prentice Hall
  • G. Strang, ``Linear Algebra and its Applications'', Thomson

Teaching methods

  • Black board
  • Matlab/Simulink sessions with the laptop in class

Assessment methods

Oral examination

Teaching tools

  • Notes on some topics not covered by the bibliography
  • Matlab-Simulink script

Office hours

See the website of Lorenzo Marconi