Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations

Authors
Bergounioux, M Merabet, N
Citation
M. Bergounioux et N. Merabet, Sensitivity analysis for optimal control of problems governed by semilinear parabolic equations, CONTROL CYB, 29(4), 2000, pp. 861-886
Citations number
26
Categorie Soggetti
AI Robotics and Automatic Control
Journal title
CONTROL AND CYBERNETICS
ISSN journal
03248569 → ACNP
Volume
29
Issue
4
Year of publication
2000
Pages
861 - 886
Database
ISI
SICI code
0324-8569(2000)29:4<861:SAFOCO>2.0.ZU;2-5
Abstract
We investigate an optimal control problem governed by a semilinear paraboli c equation with perturbed initial data. We perform some sensitivity analysi s: under polyhedricity assumption and second order optimality conditions we derive second order expansion of the optimal value function.