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

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.
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https://hal.inria.fr/hal-03011027
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Submitted on : Tuesday, November 17, 2020 - 10:37:02 PM
Last modification on : Saturday, May 1, 2021 - 3:41:06 AM
Long-term archiving on: : Thursday, February 18, 2021 - 8:34:22 PM

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M Aronna, J Frédéric Bonnans, Axel Kröner. State-constrained control-affine parabolic problems II: second order sufficient optimality conditions. SIAM Journal on Control and Optimization, Society for Industrial and Applied Mathematics, In press. ⟨hal-03011027⟩

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