Necessary Optimality Conditions in a Discrete Control Problem with Nonlocal Boundary Conditions

被引：0

作者：

Mansimov, K. B. ^{[1
]}

机构：

[1] Natl Acad Sci Azerbaijan, Inst Cybernet, Baku, Azerbaijan

来源：

JOURNAL OF AUTOMATION AND INFORMATION SCIENCES | 2012年 / 44卷 / 09期

关键词：

problem of optimal control; the system of nonlinear difference equations; nonlocal boundary conditions; modified procedure of the increment method; necessary condition of optimality; discrete Pontryagin maximum principle;

D O I：

10.1615/JAutomatInfScien.v44.i9.70

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

A problem of optimal control, described by the system of nonlinear difference equations with nonlocal boundary conditions, is considered. Using the modified procedure of the increment method we prove the necessary condition of optimality of the discrete Pontryagin maximum principle type. The case of degeneration of the discrete maximum principle is studied separately.

引用

页码：74 / 83

页数：10

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