Asymptotic expansion of solutions of optimal control problems for discrete weakly controllable systems

被引：4

作者：

Kurina, GA

机构：

来源：

PMM JOURNAL OF APPLIED MATHEMATICS AND MECHANICS | 2002年 / 66卷 / 02期

关键词：

D O I：

10.1016/S0021-8928(02)00025-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Asymptotic expansions of solutions of optimal control problems for weakly controllable systems are constructed as series of non-negative integral powers of a small parameter. Estimates are obtained for the closeness of the approximate solution to the exact solution, and it is shown that the values of the minimized functional do not increase when higher-order approximations to the control are used. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：201 / 213

页数：13

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