The SQP method for control constrained optimal control of the Burgers equation

Authors
Troltzsch, F Volkwein, S
Citation
F. Troltzsch et S. Volkwein, The SQP method for control constrained optimal control of the Burgers equation, ESAIM CO OP, 6(28), 2001, pp. 649-674
Citations number
22
Categorie Soggetti
Mathematics,"Engineering Mathematics
Journal title
ESAIM-CONTROL OPTIMISATION AND CALCULUS OF VARIATIONS
ISSN journal
12623377 → ACNP
Volume
6
Issue
28
Year of publication
2001
Pages
649 - 674
Database
ISI
SICI code
1262-3377(2001)6:28<649:TSMFCC>2.0.ZU;2-8
Abstract
A Lagrange-Newton-SQP method is analyzed for the optimal control of the Bur gers equation. Distributed controls are given, which are restricted by poin twise lower and upper bounds. The convergence of the method is proved in ap propriate Banach spaces. This proof is based on a weak second-order suffici ent optimality condition and the theory of Newton methods for generalized e quations in Banach spaces. For the numerical realization a primal-dual acti ve set strategy is applied. Numerical examples are included.