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Some remarks on existence results for optimal boundarycontrol problems

Published online by Cambridge University Press:  15 September 2003

Pablo Pedregal
Pablo Pedregal*
Affiliation:
ETSI Industriales, Universidad de Castilla-La Mancha, 13071 Ciudad Real, Spain; [email protected].
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Abstract

An optimal control problem when controls act on the boundary can also be understood as a variational principle under differential constraints and no restrictions on boundary and/or initial values. From this perspective, some existence theorems can be proved when cost functionals depend on the gradient of the state. We treat the case of elliptic and non-elliptic second order state laws only in the two-dimensional situation. Our results are based on deep facts about gradient Young measures.

Keywords

Boundary controlsvector variational problemsgradient Young measures.
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 9 , January 2003 , pp. 437 - 448
Copyright
© EDP Sciences, SMAI, 2003

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