Optimal control of a semilinear parabolic equation with singular arcs

J. Frederic Bonnans 1, 2
1 Commands - Control, Optimization, Models, Methods and Applications for Nonlinear Dynamical Systems
ENSTA ParisTech UMA - Unité de Mathématiques Appliquées, CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique, INRIA Saclay - Ile de France, Polytechnique - X, Univ. Paris-Saclay, ENSTA ParisTech - École Nationale Supérieure de Techniques Avancées, CNRS : UMR7641
Abstract : This paper develops 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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Journal articles
Optimization, Methods and Software, Taylor and Francis, 2014, 29 (2), pp.964-978. <10.1080/10556788.2013.830220>


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Submitted on : Wednesday, July 17, 2013 - 3:32:47 PM
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J. Frederic Bonnans. Optimal control of a semilinear parabolic equation with singular arcs. Optimization, Methods and Software, Taylor and Francis, 2014, 29 (2), pp.964-978. <10.1080/10556788.2013.830220>. <hal-00740698v2>

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