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Optimale Steuerung/Optimal Control Semester SoSe 2021
Lecturer Luise Blank
Type of course (Veranstaltungsart) Vorlesung
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, Wed 10-12 (Exercise class probably Wed 14-16 via Zoom)
Location H31 in presence if possible
Course homepage https://elearning.uni-regensburg.de/course/view.php?id=49784 (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 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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