227-0225-00L  Linear System Theory

Semester Autumn Semester 2017
Lecturers M. Kamgarpour
Periodicity yearly course
Language of instruction English

Catalogue data

Abstract The class is intended to provide a comprehensive overview of the theory of linear dynamical systems, stability analysis, and their use in control and estimation. The focus is on the mathematics behind the physical properties of these systems.
Objective Students should be able to apply the fundamental results in linear system theory to analyze and control linear dynamical systems.
Content - Linear spaces, normed linear spaces and Hilbert 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, duality. Time invariant systems treated as a special case.
- Stability and stabilization, observers, state and output feedback, separation principle.
Lecture notes Available online on course website.
Prerequisites / Notice 1) Sufficient mathematical maturity with special focus on linear algebra, analysis, and basic logic.
2) Control Systems I (227-0103-00) or equivalent.

Performance assessment

Performance assessment information (valid until the course unit is held again)
Performance assessment as a semester course
ECTS credits 6 credits
Examiners M. Kamgarpour
Type session examination
Language of examination English
Course attendance confirmation required No
Repetition The performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examination written 120 minutes
Additional information on mode of examination Final grade is made of 70% final exam and 30% coursework.
Written aids None
This information can be updated until the beginning of the semester; information on the examination timetable is binding.

Learning materials

No public learning materials available.
Only public learning materials are listed.


Number Title Hours Lecturers
227-0225-00 G Linear System Theory 5 hrs
Mon 09-12 ML H 44 »
Thu 17-19 ETZ E 8 »
21.09. 17-19 ML D 28 »
02.11. 17-19 ML D 28 »
M. Kamgarpour


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Offered in

Programme Section Type
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Doctoral Dep. of Information Technology and Electrical Engineering Doctoral and Post-Doctoral Courses W Information
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Micro- and Nanosystems Master Elective Core Courses W Information
Computational Science and Engineering Master Systems and Control W Information
Robotics, Systems and Control Master Core Courses W Information