An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1992

An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities

J. Frederic Bonnans
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Eduardo Casas
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Abstract

This paper deals with state-constrained optimal control problems governed by semilinear elliptic equations or variational inequalities. By using Ekeland's principle, we derive a minimum principle of Pontryagin's type under some stability conditions of the optimal cost with respect to the state constraints.
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Dates and versions

inria-00076987 , version 1 (29-05-2006)

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  • HAL Id : inria-00076987 , version 1

Cite

J. Frederic Bonnans, Eduardo Casas. An extension of Pontryagin's principle for state-constrained optimal control of semilinear elliptic equations and variational inequalities. [Research Report] RR-1747, INRIA. 1992. ⟨inria-00076987⟩
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