Optimal control problems with control complementarity constraints : existence results, optimality conditions, and a penalty method
| Autor: | Christian Clason, Patrick Mehlitz, Yu Deng, Uwe Prüfert |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2020 |
| Předmět: |
0209 industrial biotechnology
Mathematical optimization 021103 operations research Control and Optimization Applied Mathematics 0211 other engineering and technologies 02 engineering and technology Optimal control Special class Complementarity (physics) 020901 industrial engineering & automation Mathematik Penalty method Software Mathematics |
| Popis: | 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. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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