On the theory of singular optimal controls in dynamic systems with control delay

被引：0
|
作者：
M. J. Mardanov
T. K. Melikov
机构：
[1] National Academy of Sciences of Azerbaijan,Institute of Mathematics and Mechanics
[2] National Academy of Sciences of Azerbaijan,Institute of Control Systems
来源：
Computational Mathematics and Mathematical Physics | 2017年 / 57卷
关键词：
singular control; optimal control; variation transformation method; Legendre polynomial; necessary optimality conditions;
D O I：
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学科分类号：
摘要：
An optimal control problem with a control delay is considered, and a more broad class of singular (in classical sense) controls is investigated. Various sequences of necessary conditions for the optimality of singular controls in recurrent form are obtained. These optimality conditions include analogues of the Kelley, Kopp–Moyer, R. Gabasov, and equality-type conditions. In the proof of the main results, the variation of the control is defined using Legendre polynomials.
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页码：749 / 769
页数：20
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