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Journal of Automation and Information Sciences

年間 12 号発行

ISSN 印刷: 1064-2315

ISSN オンライン: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Optimal Control of Heat Transfer Process

巻 46, 発行 8, 2014, pp. 27-37
DOI: 10.1615/JAutomatInfScien.v46.i8.40
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要約

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.

参考
  1. Andreyev Yu.N. , Control of finite-dimensional linear objects [in Russian].

  2. Roitenberg Ya.N. , Automatic control [in Russian].

  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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