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Singular arcs in the optimal control of a parabolic equation

Joseph Frederic Bonnans 1, 2
2 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
UMA - Unité de Mathématiques Appliquées, Inria Saclay - Ile de France, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
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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Submitted on : Wednesday, July 17, 2013 - 3:50:18 PM
Last modification on : Monday, September 30, 2019 - 10:46:02 AM
Long-term archiving on: : Wednesday, April 5, 2017 - 1:25:01 PM


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  • HAL Id : hal-00845704, version 1


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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