Optimal control over the process of heating of a thin core
DOI:
https://doi.org/10.15407/dopovidi2014.07.048Keywords:
control, core, heatingAbstract
The paper is devoted to the linear-quadratic optimal control problem for the process of heating of a thin core. The simultaneous use of distributed and boundary controls is supposed. A method of Lagrange multipliers is proposed, and the Lagrange function includes not only a partial differential equation, but also boundary conditions. For the considered optimization problem, the necessary conditions of optimality are obtained. Their analysis has given chance to deduce the Riccati integro-differential equation.
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References
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Sirazetdinov T. K. Optimizing systems with distributed parameters. Moscow: Nauka, 1977 (in Russian).
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