Metadata language
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: Date issued/created: Description:24 stron ; 21 cm ; Bibliografia s. 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: Detailed Resource Type: Source: Language: Language of abstract: Rights:Licencja Creative Commons Uznanie autorstwa 4.0
Terms of use:Zasób chroniony prawem autorskim. [CC BY 4.0 Międzynarodowe] Korzystanie dozwolone zgodnie z licencją Creative Commons Uznanie autorstwa 4.0, której pełne postanowienia dostępne są pod adresem: ; -
Digitizing institution:Instytut Badań Systemowych Polskiej Akademii Nauk
Original in:Biblioteka Instytutu Badań Systemowych PAN
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