State-constrained control-affine parabolic problems II: second order sufficient optimality conditions - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles SIAM Journal on Control and Optimization Year : 2021

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.
Fichier principal
Vignette du fichier
ABKpart2_revision.pdf (392.44 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-03011027 , version 1 (17-11-2020)

Identifiers

Cite

Maria Soledad Aronna, Joseph Frédéric Bonnans, Axel Kröner. State-constrained control-affine parabolic problems II: second order sufficient optimality conditions. SIAM Journal on Control and Optimization, In press, ⟨10.1137/19M1286906⟩. ⟨hal-03011027⟩
68 View
69 Download

Altmetric

Share

Gmail Facebook X LinkedIn More