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.

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Metadaten
Author: Marcus Wagner
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
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