Autumn Semester 2020 takes place in a mixed form of online and classroom teaching.
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227-0225-00L  Linear System Theory

SemesterAutumn Semester 2016
LecturersM. Kamgarpour
Periodicityyearly recurring course
Language of instructionEnglish



Catalogue data

AbstractThe 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.
ObjectiveBy 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.
Lecture notesF.M. Callier and C.A. Desoer, "Linear System Theory", Springer-Verlag, 1991.
Prerequisites / NoticePrerequisites: Control Systems I (227-0103-00) or equivalent and sufficient mathematical maturity.

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
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 examinationOne page of handwritten notes double sided size A4 is allowed.
Final grade can be improved by graded homework (10%) and a midterm examination (20%).
Written aidsOne page of double-sided handwritten notes, size A4.
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.

Courses

NumberTitleHoursLecturers
227-0225-00 GLinear System Theory5 hrs
Mon09-12ML H 44 »
Thu17-19ETZ E 8 »
20.10.17-19ETF C 1 »
24.11.17-19ETF C 1 »
M. Kamgarpour

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Doctoral Dep. of Information Technology and Electrical EngineeringDoctoral and Post-Doctoral CoursesWInformation
Electrical Engineering and Information Technology MasterCore SubjectsWInformation
Electrical Engineering and Information Technology MasterRecommended SubjectsWInformation
Mechanical Engineering MasterRobotics, Systems and ControlWInformation
Micro- and Nanosystems MasterElective Core CoursesWInformation
Computational Science and Engineering MasterSystems and ControlWInformation
Robotics, Systems and Control MasterCore CoursesWInformation