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arXiv · 1909.05056

State constrained control-affine parabolic problems II: Second order sufficient optimality conditions

M. Soledad Aronna·J. -Frédéric Bonnans·Axel Kröner
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Abstract

In this paper we consider an optimal control problem governed by a semilinear heat equation with bilinear control-state terms and subject to control and state constraints. The state constraints are of integral type, the integral being with respect to the space variable. The control is multidimensional. The cost functional is of a tracking type and contains a linear term in the control variables. We derive second order sufficient conditions relying on the Goh transform. The appendix provides an example illustrating the applicability of our results.

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M. Soledad Aronna, J. -Frédéric Bonnans, Axel Kröner. 2019-09-11. State constrained control-affine parabolic problems II: Second order sufficient optimality conditions. https://arxiv.org/abs/1909.05056

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