We derive sufficient conditions for the time optimality of the control of heating of rigid bodies by internal heat sources under constraints on phase coordinates. We numerically solve the optimal-control problem in the case of heating of an unbounded plats with constraints on temperature and thermoelastic stresses.
This is a preview of subscription content, log in to check access.
Buy single article
Instant access to the full article PDF.
Price includes VAT for USA
Subscribe to journal
Immediate online access to all issues from 2019. Subscription will auto renew annually.
This is the net price. Taxes to be calculated in checkout.
V. M. Vigak and A. V. Kostenko, Optimization of the Rate of Control of a Process of Diffusion Type [in Russian], VINITI, 15.08.83, No. 4491-83 (1983).
A. Friedman, Partial Differential Equations of Parabolic Type [Russian translation], Mir, Moscow (1968).
Translated from Matematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 25, pp. 56–60, 1987.
About this article
Cite this article
Kostenko, A.V., Viter, M.B. Sufficient conditions for time optimal heating of rigid bodies by internal heat sources. J Math Sci 65, 1971–1975 (1993). https://doi.org/10.1007/BF01097483
- Heat Source
- Rigid Body
- Time Optimality
- Internal Heat
- Internal Heat Source