227-0225-00L  Linear System Theory

SemesterAutumn Semester 2018
LecturersM. Kamgarpour
Periodicityyearly recurring course
Language of instructionEnglish



Courses

NumberTitleHoursLecturers
227-0225-00 GLinear System Theory5 hrs
Mon09-12HG D 7.1 »
Thu17-19ETZ E 8 »
M. Kamgarpour

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 and on understanding and constructing proofs of properties of linear control systems.
ObjectiveStudents should be able to apply the fundamental results in linear system theory to analyze and control linear dynamical systems.
Content- Proof techniques and practices.
- 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 on the course Moodle platform.
Prerequisites / NoticeSufficient mathematical maturity with special focus on logic, linear algebra, analysis.

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 examinationThere will be a compulsory continuous performance assessment in form of homework. Additionally an optional midterm examination is offered. The final grade is 60% final exam + 20 % homework + 20% midterm, if the midterm improves the final grade of the student, otherwise the final grade is 80% final exam + 20% homework
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.

Groups

No information on groups available.

Restrictions

There are no additional restrictions for the registration.

Offered in

ProgrammeSectionType
Computational Biology and Bioinformatics MasterTheoryWInformation
Doctoral Dep. of Information Technology and Electrical EngineeringDoctoral and Post-Doctoral CoursesWInformation
Electrical Engineering and Information Technology MasterCore SubjectsWInformation
Electrical Engineering and Information Technology MasterSpecialization CoursesWInformation
Electrical Engineering and Information Technology MasterRecommended SubjectsWInformation
Electrical Engineering and Information Technology MasterAdvanced Core CoursesWInformation
Electrical Engineering and Information Technology MasterRecommended SubjectsWInformation
Electrical Engineering and Information Technology MasterSpecialization CoursesWInformation
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