Higher-Order Convex Approximations of Young Measures in Optimal Control |
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| Authors: | Ana-Maria Matache Tomá? Roubí?ek Christoph Schwab |
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| Institution: | (1) Seminar for Applied Mathematics, ETH Zürich, Rämistrasse 101, 8092 Zürich, Switzerland;(2) Mathematical Institute, Charles University, Sokolovská 83, CZ-186 75 Praha 8, Czech Republic;(3) Academy of Sciences, Institute of Information Theory and Automation, Pod vodárenskou v  í 4, CZ-182 08 Praha 8, Czech Republic |
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| Abstract: | The general theory of approximation of (possibly generalized) Young measures is presented, and concrete cases are investigated. An adjoint-operator approach, combined with quasi-interpolation of test integrands, is systematically used. Applicability is demonstrated on an optimal control problem for an elliptic system, together with one-dimensional illustrative calculations of various options. |
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| Keywords: | Young measures approximation error estimation optimal control elliptic systems |
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