Introduction: Inner product spaces; Normed spaces; Hilbert and Banach spaces; Orthogonal expansions; Least squares estimation; Dual spaces; Contraction mappings/ Banach fixed point theorem; Linear operators and adjoints; Optimization of functionals; Application to H infinity control theory.
FEL3370 Mathematical Methods in Signals, Systems and Control 8.0 credits
Information per course offering
Course offerings are missing for current or upcoming semesters.
Course syllabus as PDF
Please note: all information from the Course syllabus is available on this page in an accessible format.
Course syllabus FEL3370 (Spring 2019–)Headings with content from the Course syllabus FEL3370 (Spring 2019–) are denoted with an asterisk ( )
Content and learning outcomes
Course contents
Intended learning outcomes
After completing this course, the student will be able to follow the derivations and subtleties of a number of results available in publicaitons in Electrical Engineering, and to eventually contribute to the underlying theories of this field.
Literature and preparations
Specific prerequisites
The course is open to all graduate students. (no prerequisite courses)
Equipment
No information inserted
Literature
N.Young. An Introduction to Hilbert Space. Cambridge University Press 1988
Some excellent complements are:
E.Kreyszig. Introductory Functional Analysis with Applications. Wiley 1989
D.G. Luenberger. Optimization by Vector Space Methods. Wiley 1969
Examination and completion
If the course is discontinued, students may request to be examined during the following two academic years.
Grading scale
P, F
Examination
- EXA1 - Examination, 8.0 credits, grading scale: P, F
Based on recommendation from KTH’s coordinator for disabilities, the examiner will decide how to adapt an examination for students with documented disability.
The examiner may apply another examination format when re-examining individual students.
Other requirements for final grade
80% on weekly homework exercises and 20% project (analysis of a reserach paper, preferably related to the student´s own research, and a 15 minutes presentation of the main ideas/ results of such paper)
Opportunity to complete the requirements via supplementary examination
No information inserted
Opportunity to raise an approved grade via renewed examination
No information inserted
Examiner
Ethical approach
- All members of a group are responsible for the group's work.
- In any assessment, every student shall honestly disclose any help received and sources used.
- In an oral assessment, every student shall be able to present and answer questions about the entire assignment and solution.
Further information
Course room in Canvas
Registered students find further information about the implementation of the course in the course room in Canvas. A link to the course room can be found under the tab Studies in the Personal menu at the start of the course.
Offered by
Main field of study
This course does not belong to any Main field of study.
Education cycle
Third cycle
Add-on studies
No information inserted
Contact
Cristian Rojas (crro@kth.se)