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

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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https://hal.inria.fr/inria-00076987
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Submitted on : Monday, May 29, 2006 - 11:46:33 AM
Last modification on : Thursday, February 3, 2022 - 11:18:25 AM
Long-term archiving on: : Friday, May 13, 2011 - 10:22:27 PM

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  • HAL Id : inria-00076987, version 1

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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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