Optimal control of partial differential equations with affine control constraints

• Autorzy: Reyes J. R. de los , Kunisch K.
• Języki publikacji: EN

Abstrakty

EN

Numerical solution of PDE optimal control problems involving affine pointwise control constraints is investigated. Optimality conditions are derived and a semi-smooth Newton method is presented. Global and local superlinear convergence of the method are obtained for linear problems. Differently from box constraints, in the case of general affine constraints a proper weighting of the control costs is essential for superlinear convergence of semi-smooth Newton methods. This is also demonstrated numerically by controlling the two-dimensional Stokes equations with different kinds of affine constraints.

Słowa kluczowe

EN

optimal control; affine control constraints; semi-smooth Newton methods

• Wydawca: Systems Research Institute, Polish Academy of Sciences
• Czasopismo: Control and Cybernetics
• Rocznik: 2009
• Tom: Vol. 38, no 4A
• Strony: 1217--1249
• Opis fizyczny: Bibliogr. 20 poz.

Twórcy

autor

Reyes J. R. de los

autor

Kunisch K.

• Departmento de Matematica, EPN Quito, Ecuador

Bibliografia

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