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自动化与信息科学期刊

每年出版 12 

ISSN 打印: 1064-2315

ISSN 在线: 2163-9337

SJR: 0.173 SNIP: 0.588 CiteScore™:: 2

Indexed in

Optimal Control of Heat Transfer Process

卷 46, 册 8, 2014, pp. 27-37
DOI: 10.1615/JAutomatInfScien.v46.i8.40
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摘要

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.

参考文献
  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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