Journal of Automation and Information Sciences
Publicou 12 edições por ano
ISSN Imprimir: 1064-2315
ISSN On-line: 2163-9337
SJR:
0.173
SNIP:
0.588
CiteScore™::
2
Indexed in
Linear-Quadratic Optimal Control Problem for a Hyperbolic System
Volume 47,
Edição 2, 2015,
pp. 35-48
DOI: 10.1615/JAutomatInfScien.v47.i2.40
RESUMO
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.
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