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

Fredi Tröltzsch; Stefan Volkwein

ESAIM: Control, Optimisation and Calculus of Variations (2001)

- Volume: 6, page 649-674
- ISSN: 1292-8119

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topTröltzsch, Fredi, and Volkwein, Stefan. "The SQP method for control constrained optimal control of the Burgers equation." ESAIM: Control, Optimisation and Calculus of Variations 6 (2001): 649-674. <http://eudml.org/doc/90613>.

@article{Tröltzsch2001,

abstract = {A Lagrange–Newton–SQP method is analyzed for the optimal control of the Burgers equation. Distributed controls are given, which are restricted by pointwise lower and upper bounds. The convergence of the method is proved in appropriate Banach spaces. This proof is based on a weak second-order sufficient optimality condition and the theory of Newton methods for generalized equations in Banach spaces. For the numerical realization a primal-dual active set strategy is applied. Numerical examples are included.},

author = {Tröltzsch, Fredi, Volkwein, Stefan},

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {Burgers’ equation; SQP methods; generalized Newton’s method; primal-dual methods; active set strategy; Burgers equation; generalized Newton method; optimal control},

language = {eng},

pages = {649-674},

publisher = {EDP-Sciences},

title = {The SQP method for control constrained optimal control of the Burgers equation},

url = {http://eudml.org/doc/90613},

volume = {6},

year = {2001},

}

TY - JOUR

AU - Tröltzsch, Fredi

AU - Volkwein, Stefan

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

JO - ESAIM: Control, Optimisation and Calculus of Variations

PY - 2001

PB - EDP-Sciences

VL - 6

SP - 649

EP - 674

AB - A Lagrange–Newton–SQP method is analyzed for the optimal control of the Burgers equation. Distributed controls are given, which are restricted by pointwise lower and upper bounds. The convergence of the method is proved in appropriate Banach spaces. This proof is based on a weak second-order sufficient optimality condition and the theory of Newton methods for generalized equations in Banach spaces. For the numerical realization a primal-dual active set strategy is applied. Numerical examples are included.

LA - eng

KW - Burgers’ equation; SQP methods; generalized Newton’s method; primal-dual methods; active set strategy; Burgers equation; generalized Newton method; optimal control

UR - http://eudml.org/doc/90613

ER -

## References

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