Universität Regensburg   IMPRESSUM    DATENSCHUTZ
Fakultät für Mathematik Universität Regensburg
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Optimal Control
Semester
WiSe 2025 / 26

Lecturer
Luise Blank

Type of course (Veranstaltungsart)
Vorlesung

German title
Optimale Steuerung

Contents
The main issue of the course is the theory of optimal control, i.e. the optimization with partial differential equations as constraints which are driven by a control function. These type of problems occur in many applications as for example: to control chemical reactors, to design optimal surfaces for vehicles and to find the right dosage in medical treatments. As constraints we study in particular linear quadratic and semilinear elliptic equations and consider existence of a solution, first and second order optimality conditions, adjoined equations, Lagrangian techniques and, marginally, basic numerical approaches.

Literature
F. Tröltzsch: Optimale Steuerung partieller Differentialgleichungen. Vieweg, Wiesbaden.
J. L. Lions: Optimal Control of Systems Governed by Partial Differential Equations. Springer, Berlin.
J. Macki und A. Strauss: Introduction to Optimal Control Theory. Springer.

Recommended previous knowledge
Lineare Algebra, Analysis. Knowledge in Functionalanalysis, partial differential equations or optimization is helpful but not required

Time/Date
Mon 14-16, Wed 10-12; Exercise: Wed 14-16

Location
Mon: M 104, Wed: M 103; Exercise M101

Course homepage
https://elearning.uni-regensburg.de/course/view.php?id=71667
(Disclaimer: Dieser Link wurde automatisch erzeugt und ist evtl. extern)

Registration
  • Preliminary registration for the organisation of exercise classes: at the end of the previous
    semester via EXA or LSF (see announcement by the department)
  • Registration for the exercise classes: via GRIPS
  • Registration for course work/examination/ECTS: FlexNow
Course work (Studienleistungen)
  • Successful participation in the exercise classes: 50% of the exercises
Examination (Prüfungsleistungen)
  • Oral exam: Duration: 30 minutes, Date: by arrangement , re-exam: Date: by arrangement
Modules
BV, MV, MAngAn, CS-B-Math3, CS-B-P16, PHY-B-WE 03, PHY-M-VE 03,

ECTS
9
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