Regularization Methods For Ill Posed Optimal Control Problems
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Regularization Methods for Ill-Posed Optimal Control Problems
Author: Frank Pörner
language: en
Publisher: BoD – Books on Demand
Release Date: 2018-10-04
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.
Counterexamples in Optimal Control Theory
Author: Semen Ya. Serovaiskii
language: en
Publisher: Walter de Gruyter
Release Date: 2011-12-01
This monograph deals with cases where optimal control either does not exist or is not unique, cases where optimality conditions are insufficient of degenerate, or where extremum problems in the sense of Tikhonov and Hadamard are ill-posed, and other situations. A formal application of classical optimisation methods in such cases either leads to wrong results or has no effect. The detailed analysis of these examples should provide a better understanding of the modern theory of optimal control and the practical difficulties of solving extremum problems.
Optimal Control of Coupled Systems of Partial Differential Equations
Author: Karl Kunisch
language: en
Publisher: Springer Science & Business Media
Release Date: 2009-12-03
Contains contributions originating from the 'Conference on Optimal Control of Coupled Systems of Partial Differential Equations', held at the 'Mathematisches Forschungsinstitut Oberwolfach' in March 2008. This work covers a range of topics such as controllability, optimality systems, model-reduction techniques, and fluid-structure interactions.