@article{4077e926b74b4a228f4cd66c319817f7,
title = "Optimal control of longitudinal deformations of a thermoelastic rod with unilateral contact condition of the Signorini type",
abstract = "In this article, we study the optimal control for longitudinal deformations of a thermoelastic rod. The controlled system is equipped with unilateral contact condition of the Signorini type. By the Dubovitskii and Milyutin functional analytical approach, we derive the necessary optimality conditions for optimal control problems with equality and inequality constraints in both fixed and free final horizon cases. Finally, the applicability of the derived Pontryagin maximum principles is simply addressed in the conclusion.",
keywords = "Maximum principle, Necessary optimality condition, Optimal control, Signorini condition, Thermoelastic contact",
author = "Bing Sun and Ma, {Cheng Cheng}",
note = "Publisher Copyright: {\textcopyright} The authors 2017. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.",
year = "2019",
month = mar,
day = "22",
doi = "10.1093/imamci/dnx035",
language = "English",
volume = "36",
pages = "57--78",
journal = "IMA Journal of Mathematical Control and Information",
issn = "0265-0754",
publisher = "Oxford University Press",
number = "1",
}