Optimal control of a semilinear parabolic equation with singular arcs

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>


https://hal.inria.fr/hal-00740698
Contributor : J. Frederic Bonnans <>
Submitted on : Wednesday, July 17, 2013 - 3:32:47 PM
Last modification on : Wednesday, July 16, 2014 - 1:14:55 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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