A Note on Gradient Young Measure Relaxation of Dieudonné-Rashevsky Type Control Problems with Integrands f(s, ξ, v)
- We prove a relaxation theorem for multidimensional control problems of Dieudonn\'e-Rashevsky type in terms of generalized controls. The main ingredient of the proof is a characterization theorem for gradient Young measures supported on the convex control domain $K\subset \R^{nm}$, which generalizes previous work of Kinderlehrer and Pedregal.
Author: | Marcus Wagner |
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ISSN: | 0944-6532 |
Title of the source (English): | Journal of Convex Analysis |
Document Type: | Scientific journal article peer-reviewed |
Language: | English |
Year of publication: | 2014 |
Tag: | Multidimensional control problem; lower semicontinuous quasiconvex envelope; minimal value; nonconvex relaxation |
Volume/Year: | 21 |
Issue number: | 2 |
First Page: | 453 |
Last Page: | 476 |
Faculty/Chair: | Fakultät 1 MINT - Mathematik, Informatik, Physik, Elektro- und Informationstechnik / FG Mathematik insbesondere Optimierung |