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arXiv · 1809.09920

Optimal control problems with control complementarity constraints

Christian Clason·Yu Deng·Patrick Mehlitz·Uwe Prüfert
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Abstract

A special class of optimal control problems with complementarity constraints on the control functions is studied. It is shown that such problems possess optimal solutions whenever the underlying control space is a first-order Sobolev space. After deriving necessary optimality conditions of strong stationarity-type, a penalty method based on the Fischer-Burmeister function is suggested and its theoretical properties are analyzed. Finally, the numerical treatment of the problem is discussed and results of computational experiments are presented.

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Christian Clason, Yu Deng, Patrick Mehlitz, Uwe Prüfert. 2019-01-21. Optimal control problems with control complementarity constraints. https://doi.org/10.1080/10556788.2019.1604705

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