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227-0225-00L 6 Credits DR , MSC D-USYS , D-BAUG , D-MAVT , D-INFK , D-MTEC , D-MATH , D-BIOL , D-GESS , D-ITET , D-ARCH , D-CHAB
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Linear System Theory

Lineare Systemtheorie

Lecturers & Examiners: Prof. Dr. John Lygeros
VVZ CR n/a

Last Updated: 2026-02-05 15:14:58

Abstract

The class is intended to provide a comprehensive overview of the theory of linear dynamical systems, their use in control, filtering, and estimation and their applications to areas ranging from avionics to systems biology.

Objective

By the end of the class students should be comfortable with the fundamental results in linear system theory and the mathematical tools used to derive them.

Content

- Rings, fields and linear spaces, normed linear spaces and inner product spaces. - Ordinary differential equations, existence and uniqueness of solutions. - Continuous and discrete time, time varying linear systems. Time domain solutions. Time invariant systems treated as a special case. - Controllability and observability, canonical forms, Kalman decomposition. Time invariant systems treated as a special case. - Stability and stabilization, observers, state and output feedback, separation principle. - Realization theory.

Resources

Lecture Notes

F.M. Callier and C.A. Desoer, "Linear System Theory", Springer-Verlag, 1991.

General Information

Language
English
Levels
DR , MSC
Frequency
Yearly recurring

Examination

Type
session examination
Mode
written 90 minutes
Aids
Keine

Course Components

Type Title Time & Place Hours
lecture with exercise Linear System Theory
  • Mon 08:15-12:00 (ETZ E 7)
4 h weekly

Offered In