We investigate an optimal control problem governed by a semilinear parabolic equation with perturbed initial data. We perform some sensitivity analysis: under polyhedricity assumption and second order optimality conditions we derive second order expansion of the optimal value function.
Publié le : 2000-07-05
Classification:
Optimal Control,
Second Order Optimality conditions,
Sensitivity Analysis,
AMS 49J20,
[MATH.MATH-OC]Mathematics [math]/Optimization and Control [math.OC]
@article{hal-00022030,
author = {Bergounioux, Ma\"\i tine and Merabet, Nora},
title = {Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations},
journal = {HAL},
volume = {2000},
number = {0},
year = {2000},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00022030}
}
Bergounioux, Maïtine; Merabet, Nora. Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations. HAL, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/hal-00022030/