Abstract
We state a problem of speed-optimal control of the two-dimensional nonstationary temperature regime in inhomogeneous bodies with constraints on the control (the temperature of the heating medium) and the phase coordinates (the temperature of the body, the temperature range, and the heat flux on the surface of the body), and we propose a method for solving the problem numerically. We give as an example the computation of the optimal control of heating of a hollow infinite cylinder under constraints on the temperature range.
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Translated fromMatematichni Metodi ta Fiziko-mekhanichni Polya, Vol. 39, No. 1, 1996, pp. 119–123.
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Kostenko, A.V., Svirida, M.I. Optimization of the two-dimensional temperature fields in inhomogeneous bodies with constraints on the phase coordinates. J Math Sci 86, 2623–2626 (1997). https://doi.org/10.1007/BF02356109
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DOI: https://doi.org/10.1007/BF02356109