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Journal of Automation and Information Sciences
SJR: 0.275 SNIP: 0.59 CiteScore™: 0.8

ISSN Imprimer: 1064-2315
ISSN En ligne: 2163-9337

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Journal of Automation and Information Sciences

DOI: 10.1615/JAutomatInfScien.v46.i8.40
pages 27-37

Optimal Control of Heat Transfer Process

Miroslav M. Kopets
National Technical University of Ukraine "Igor Sikorsky Kiev Polytechnic Institute", Kiev


Linear-quadratic problem of optimal control for heat transfer process is under consideration. We assume simultaneous usage of distributed and boundary controls. Author proposed for this problem the Lagrange multipliers method, moreover, the Lagrange function includes not only equations in partial derivatives, but boundary conditions too. For the mentioned problem of optimization the necessary conditions of optimality were obtained. Analysis of these conditions makes it possible to derive the Riccati integro-differential equation.


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  3. Zhukovskiy V.I., Chikrii A.A. , Linear-quadratic differential games [in Russian].

  4. Polyanin A.D. , Handbook on linear equations of mathematical physics [in Russian].

  5. Sirazetdinov T.K. , Optimization of systems with distributed parameters [in Russian].

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