Time-Varying Systems and Computations

What it is about

You learn methods for describing and numerically treating time-varying systems as well as efficient algorithms for large-scale and structured problems in numerical linear algebra. In the end you can develop suitable Matlab programs that implement these algorithms for engineering applications and assess their efficiency.

What you will be able to do

Implement efficient algorithms for large-scale and structured problems
Analyze the effectiveness and efficiency of numerical algorithms
Formulate engineering problems as time-varying linear systems
Read and present literature on efficient computations clearly
Explain results orally and in writing

What the module consists of

LectureTransmission of theory on the board, including discussions on reading tasks
Exercises / Project SupportAssistance with programming tasks, notes on implementation and additional presentations
Student PresentationsIntroduction and discussion of selected literature and results
Team Projects / Programming TasksWork on about 5 project-based tasks in small teams

Teaching method

Frontal lecture at the boardIntroduction and discussion of theoretical content
Inverted-classroom with reading assignmentsIndependent preparation of current or classic papers for deeper understanding
Team-oriented programming tasksPractical implementation and application of the methods in Matlab
Presentations and postersPromotion of oral communication and transfer of understanding

What you should already know

(Numerical) Linear Algebra
Linear Time-Invariant System Theory
Fundamentals of Signal Processing
Programming skills in Matlab
Signals, Systems, Control Engineering, Linear Algebra (1st semester) (TUM Bachelor)recommended
Numerical Mathematics (4th semester) (TUM Bachelor)recommended
Matlab Project Course (MSc) (recommended)recommended
Numerical Methods of Electrical Engineering (MSc) (recommended)recommended

Assessment

Oral examProgramming tasksEssayPresentation

The final grade consists of an oral examination (50%), the programming-based tasks during the semester (30%), written essays on reading tasks (10%) and a short presentation (10%). In the oral examination you demonstrate that you can transfer the skills learned in the module to given problems. Programming tasks are submitted as homework in team work and graded. For essays and presentations it is about understanding the literature as well as written and oral presentation.

Reading list

P. Dewilde, A.-J. van der Veen - Time-Varying Systems and Computations
G. Strang - Linear Algebra and its Applications
G. Strang - Computational Science and Engineering
T. Kailath - Linear Systems
A.C. Antoulas - Approximation of Large-Scale Dynamical Systems

Dates

Lecture with exerciseTime Varying Systems and Computation2 groups to choose from

AWed09:45–11:15
Z995, Seminarraum (0509.Z1.995)
13× · 14.10.–03.02.
- 14.10.
- 21.10.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.
BWed11:30–12:15
Z995, Seminarraum (0509.Z1.995)
14× · 14.10.–03.02.
- 14.10.
- 21.10.
- 28.10.
- 11.11.
- 18.11.
- 25.11.
- 02.12.
- 09.12.
- 16.12.
- 23.12.
- 13.01.
- 20.01.
- 27.01.
- 03.02.

From the current semester, not binding. You attend one of several groups; the timetable automatically suggests the one with the fewest clashes.

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