Object structure
Title:

Control Problem for a Nonlinear Thermoelasticity System

Subtitle:

Raport Badawczy = Research Report ; RB/9/2002

Creator:

Pawłow, Irena ; Żochowski, Antoni

Publisher:

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

Place of publishing:

Warszawa

Date issued/created:

2002

Description:

24 pages ; 21 cm ; Bibliography p. 23-24

Subject and Keywords:

Stability ; Stabilność ; Nonlinear thermoelasticity ; Nieliniowa termoelastyczność ; Nieliniowa termosprężystość ; Stateczność ; Control ; Sterowanie ; Shape memory materials ; Materiały z pamięcią kształtu

Abstract:

The control problem for a three-dimensional nonlinear thermoelasticity system is considered. The system may represent, among others, the dynamical model of shape memory materials. Distributed heat sources and body forces are considered as controls. The goal functional refers to the desired evolution of displacement, strain and temperature. The continuity and differentiability of solutions with respect to controls is studied. The existence of optimal controls is proved and the necessary optimality conditions are formulated. The existence of adjoint state variables is proved under additional regularity of data.

Relation:

Raport Badawczy = Research Report

Resource type:

Text

Detailed Resource Type:

Report

Source:

RB-2002-09

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

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