Linear Systems

Course type

Gives the fundamental theory of continuous linear dynamical systems in both continuous and discrete time. Extends many concepts to nonlinear systems.

Periodicity

Every 2 years.

Prerequisites

Mathematics: Linear algebra, Calculus and mathematical analysis, Transform theory

Systems modeling: Some basic course in dynamical systems and control, e.g. TSRT12 "Automatic Control", TSRT35 "Control Theory"

Related Courses

Nonlinear Dynamical Systems

Contents

• Linear Systems
  • Observability
  • Controllability
  • Realization Theory
• General Systems Theory
  • Multivariable Systems
  • Matrix Fraction Descriptions
  • Realization from Matrix Fraction Descriptions
  • Time Varying Systems

Credits

6 (8 with mini-project)

Examination

Three day take home examination. Mini project.

Schedule

Literature

Wilson J. Rugh, Linear System Theory, Prentice Hall, 1996., T. Kailath: Linear Systems. Prentice Hall 1980

Course Leader

Professor, Torkel Glad, (torkel@isy.liu.se), (phone: +46 13 281308)