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Singular arcs in the optimal control of a parabolic equation

Abstract : We present a theory of singular arc, and the corresponding second order necessary and sufficient conditions, for the optimal control of a semilinear parabolic equation with scalar control applied on the r.h.s. We obtain in particular an extension of Kelley's condition, and the characterization of a quadratic growth property for a weak norm.
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https://hal.inria.fr/hal-00845704
Contributor : J. Frederic Bonnans Connect in order to contact the contributor
Submitted on : Wednesday, July 17, 2013 - 3:50:18 PM
Last modification on : Saturday, June 25, 2022 - 7:44:31 PM
Long-term archiving on: : Wednesday, April 5, 2017 - 1:25:01 PM

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  • HAL Id : hal-00845704, version 1

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Joseph Frederic Bonnans. Singular arcs in the optimal control of a parabolic equation. 13th European Control Conference, Jul 2013, Zurich, Switzerland. ⟨hal-00845704⟩

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