Linear-quadratic optimal control problem for a hyperbolic system

被引：0

作者：

Kopets, Miroslav M. ^{[1
]}

机构：

[1] National Technical University of Ukraine, Kiev Polytechnic Institute, Kiev

来源：

Journal of Automation and Information Sciences | 2015年 / 47卷 / 02期

关键词：

Hyperbolic systems; Lagrange function; Linear-quadratic optimal control problem; Riccati integro-differential equations; Simultaneous use of boundary conditions;

D O I：

10.1615/JAutomatInfScien.v47.i2.40

中图分类号：

学科分类号：

摘要：

The paper deals with the linear-quadratic optimal control problem for a hyperbolic system. Simultaneous use of the distributed and boundary controls is supposed. The author for this purpose offers a method of Lagrange multipliers, and the Lagrange function includes not only the partial differential equation, but also boundary conditions. For the considered optimization problem the necessary conditions of optimality are obtained. The analysis of these conditions enables one to deduce the system of Riccati integro-differential equations. © 2015 by Begell House Inc.

引用

页码：35 / 48

页数：13

共 7 条

[1]

Komkov V., Optimal Control Theory for the Damping of Vibrations of Simple Elastic Systems [Russian translation], (1975)

[2]

Sirazetdinov T.K., Optimization of Systems with Distributed Parameters [in Russian], (1977)

[3]

Chikrii A.A., Eidelman S.D., Game control problems for quasilinear systems with fractional Riemann-Liouville derivatives, Kibernetika I Sistemnyi Analiz, 6, pp. 66-99, (2011)

[4]

Eidelman S.D., Chikrii A.A., Dynamic game approach problem for equations of the fractional order, Ukrainskiy Matematicheskiy Zhurnal, 52, 11, pp. 1566-1583, (2000)

[5]

Chikrii A.A., Rappoport J.S., Chikrii K.A., Multivalued mapping and their selectors in the theory of conflict-controlled processes, Cybernetics and Systems Analysis, 43, 5, pp. 719-730, (2007)

[6]

Chikrii A.A., Dzyubenko K.G., Bilinear Markovian processes of search for moving objects, Problemy Upravlenia I Informatiki, 1, pp. 92-107, (1997)

[7]

Pilipenko Yu.V., Chikrij A.A., The oscillation processes of conflict control, Prikladnaya Matematika I Mekhanika, 57, 3, pp. 3-14, (1993)

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