The p-Order Maximum Principle for an Irregular Optimal Control Problem

被引：2

作者：

Prusinska, A. ^{[1
]}

Tret'yakov, A. A. ^{[2
,3
]}

机构：

[1] Siedlce Univ, Fac Sci, PL-08110 Siedlce, Poland

[2] Polish Acad Sci, Syst Res Inst, PL-01447 Warsaw, Poland

[3] Russian Acad Sci, Dorodnicyn Comp Ctr, Fed Res Ctr Comp Sci & Control, Moscow 119333, Russia

来源：

COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2017年 / 57卷 / 09期

基金：

俄罗斯基础研究基金会;

关键词：

singular optimal control problem; p-regular Pontryagin's maximum principle; generalized Lyusternik theory; p-order implicit function theorem;

D O I：

10.1134/S0965542517090111

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The general optimal control problem subject to irregular constraints is considered for which the factor of the objective functional in Pontryagin's function may vanish. It turns out that, in the case of p-regular constraints, this drawback can be overcome and a constructive version of the p-order maximum principle can be formulated.

引用

页码：1453 / 1458

页数：6