227-0225-00L  Linear System Theory

SemesterAutumn Semester 2017
LecturersM. Kamgarpour
Periodicityyearly course
Language of instructionEnglish

Catalogue data

AbstractThe 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.
ObjectiveStudents 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 notesAvailable online on course website.
Prerequisites / Notice1) 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 credits6 credits
ExaminersM. Kamgarpour
Typesession examination
Language of examinationEnglish
Course attendance confirmation requiredNo
RepetitionThe performance assessment is only offered in the session after the course unit. Repetition only possible after re-enrolling.
Mode of examinationwritten 120 minutes
Additional information on mode of examinationFinal grade is made of 70% final exam and 30% coursework.
Written aidsNone
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.


227-0225-00 GLinear System Theory5 hrs
Mon09-12HG D 7.2 »
Thu17-19ETZ E 8 »
21.09.17-19ML D 28 »
25.09.09-12ML H 44 »
02.11.17-19ETF C 1 »
17-19ML D 28 »
12.02.12-14ETZ E 6 »
M. Kamgarpour


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