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, Ukraine
来源：
Journal of Automation and Information Sciences | 2015年 / 47卷 / 02期
关键词：
Hyperbolic functions - Optimal control systems - Riccati equations - Lagrange multipliers - Integrodifferential equations - Quadratic programming;
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.
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页码：35 / 48
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