Title:

Solutions differentiability of parametric optimal control for elliptic equations

Subtitle:

Raport Badawczy = Research Report ; RB/2/2002

Creator:

Malanowski, Kazimierz : Autor

Publisher:

Instytut Badań Systemowych. Polska Akademia Nauk ; Systems Research Institute. Polish Academy of Sciences

Place of publishing:

Warszawa

Date issued/created:

2002

Description:

15 pages ; 21 cm ; Bibliography p. 15

Type of object:

Book/Chapter

Subject and Keywords:

Parametric optimal control ; Elliptic equation ; Równanie eliptyczne ; Control constraints ; Ograniczenia kontroli ; Bouligand differentiability of the solutions ; Nonlinear boundary control ; Sterowanie nieliniowe brzegowe ; Sterowanie optymalne parametryczne

Abstract:

A family of parameter dependent elliptic optimal control problems with nonlinear boundary control is considered. The contro function is subject to amplitude constarints. It is shown that under standard coercivity conditions the solutions to the problems are Bouligand differentiable in (Ls, s < ∞) functions of the parameter.The differentials are characterized as the solutions of accessory linear-quadratic problems.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2002-02

Language:

eng

Language of abstract:

eng

Rights:

Creative Commons Attribution BY 4.0 license

Terms of use:

Copyright-protected material. [CC BY 4.0] May be used within the scope specified in Creative Commons Attribution BY 4.0 license, full text available at: ; -

Digitizing institution:

Systems Research Institute of the Polish Academy of Sciences

Original in:

Library of Systems Research Institute PAS

Projects co-financed by:

Operational Program Digital Poland, 2014-2020, Measure 2.3: Digital accessibility and usefulness of public sector information; funds from the European Regional Development Fund and national co-financing from the state budget.

Access:

Open