@misc{Pawłow_Irena_Control_2002, author={Pawłow, Irena and Żochowski, Antoni}, copyright={Creative Commons Attribution BY 4.0 license}, address={Warszawa}, journal={Raport Badawczy = Research Report}, howpublished={online}, year={2002}, publisher={Instytut Badań Systemowych. Polska Akademia Nauk}, publisher={Systems Research Institute. Polish Academy of Sciences}, language={eng}, 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.}, title={Control Problem for a Nonlinear Thermoelasticity System}, type={Text}, URL={http://www.rcin.org.pl/Content/139434/PDF/RB-2002-09.pdf}, keywords={Stability, Stabilność, Nonlinear thermoelasticity, Nieliniowa termoelastyczność, Nieliniowa termosprężystość, Stateczność, Control, Sterowanie, Shape memory materials, Materiały z pamięcią kształtu}, }