Dynamischer Default-Fachbereich geändert auf MAT

Course MAT-82-11-K-7

Numerical Methods in Control Theory (4V, 9.0 LP)

Course Type

SWS	Type	Course Form	CP (Effort)	Presence-Time / Self-Study
4	V	Lecture	9.0 CP	56 h	214 h
(4V)			9.0 CP	56 h	214 h

Basedata

SWS	4V
CP, Effort	9.0 CP = 270 h
Position of the semester	1 Sem. irreg.
Level	[7] Master (Advanced)
Language	[EN] English
Lecturers	Damm, Tobias, Prof. Dr. (PROF \| DEPT: MAT) + further Lecturers of the department Mathematics
Area of study	[MAT-TEMA] Industrial Mathematics
Additional informations
Livecycle-State	[NORM] Active

Contents

Numerical methods dealing with problems of the linear control theory will be covered, especially:

general and structured eigenvalue problems, normal forms,
matrix equations (e.g. Lyapunov and Riccati) and their numerical solutions,
general theory of huge systems of equations,
reduction of model (especially based on singular value decompositions and Krylov subspace method).

Literature

A.C. Antoulas: Approximation of Large-Scale Dynamical Systems,
P.H. Petkov, N.D. Christov, M.M. Konstantinov: Computational Methods for Linear Control Systems,
B. Datta: Numerical Methods for Linear Control Systems,
A. Linnemann: Numerische Methoden für lineare Regelungssysteme,
K. Zhou, J.C. Doyle, K. Glover: Robust and Optimal Control.

Materials

Further literature will be announced in the lecture.

Requirements for attendance (informal)

Modules:

Requirements for attendance (formal)

None

References to Course [MAT-82-11-K-7]

Module	Name	Context
[MAT-82-11-M-7]	Numerical Methods in Control Theory	P: Obligatory	4V, 9.0 LP