Skip to Main content Skip to Navigation
Preprints, Working Papers, ...

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.
Document type :
Preprints, Working Papers, ...
Complete list of metadatas

Cited literature [18 references]  Display  Hide  Download

https://hal.inria.fr/hal-03011027
Contributor : J. Frederic Bonnans <>
Submitted on : Tuesday, November 17, 2020 - 10:37:02 PM
Last modification on : Thursday, November 19, 2020 - 3:30:11 AM

File

ABKpart2_revision.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-03011027, version 1

Collections

Citation

M Aronna, J Frédéric Bonnans, Axel Kröner. State-constrained control-affine parabolic problems II: second order sufficient optimality conditions. 2020. ⟨hal-03011027⟩

Share

Metrics

Record views

25

Files downloads

16