Regularization Methods for Ill-Posed Optimal Control Problems
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Beschreibung
Ill-posed optimization problems appear in a wide range of mathematical applications, and their numerical solution requires the use of appropriate regularization techniques. In order to understand these techniques, a thorough analysis is inevitable.
The main subject of this book are quadratic optimal control problems subject to elliptic linear or semi-linear partial differential equations. Depending on the structure of the differential equation, different regularization techniques are employed, and their analysis leads to novel results such as rate of convergence estimates.
Autor*in
Frank Pörner
geboren 1989, M.Sc. (Mathematik, Universität Würzburg)
Themen in »Regularization Methods for Ill-Posed Optimal Control Problems«
Bregman distance Elliptische Differentialgleichung Optimale Steuerung Regularisierung error estimate optimal control partial differential equation regularization