Oberseminar "Numerische Mathematik, Optimierung und dynamische Systeme"

Oberseminar , Nummer im Vorlesungsverzeichnis: 10525

SWS: 2

Dozenten

Mario Bebendorf, Kurt Chudej, Lars Grüne, Anton Schiela

Allgemeines

gemeinsames Oberseminar der Lehrstühle für Angewandte Mathematik und Wissenschaftliches Rechnen

Vortragsankündigungen für das Oberseminar

Im Rahmen unseres gemeinsamen Oberseminars findet folgender Vortrag statt:


Am Montag, dem 4. März 2019, um 14:00 Uhr im S 70, Gebäude NW II, spricht
Herr Dr. Patrick Mehlitz
Fachgebiet Optimale Steuerung
Institut für Mathematik
Fakultät 1 – Mathematik, Informatik, Physik, Elektro- und Informationstechnik (MINT)
Brandenburgische Technische Universität Cottbus –Senftenberg (btu)

über das Thema
"Finite- and infinite-dimensional aspects of switching control"

Abstract:

Switching structures appear frequently in the context of optimal control where they are used to model situations where at most one (of several) controls is allowed to be nonzero at each instance of the underlying domain.
In this talk, this problem class is first studied in the function space setting. Presuming that the controls have first-order Sobolev regularity, the program of interest possesses solutions which can be characterized by strong stationarity-type optimality conditions. Furthermore, a penalty method can be used to identify global minimizers of the problem. However, there are some essential drawbacks of this approach which will be outlined in the talk.
In the finite-dimensional framework, the class of switching-constrained optimization problems can be interpreted as an instance of disjunctive programming. This allows us to infer necessary optimality conditions and constraint qualifications. Based on a relaxation approach, a solution algorithm with strong convergence properties is constructed which works under mild assumptions that hold for the discretized version of the optimal control problem. Some computational results conclude the talk.

Einladende:

Prof. Dr. Mario Bebendorf
Prof. Dr. Kurt Chudej
Prof. Dr. Lars Grüne
Prof. Dr. Anton Schiela

Lehrstuhl -

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