Maximum principle in problems with mixed constraints under weak assumptions of regularity

被引：20

作者：

Arutyunov, A. V. ^{[2
]}

Karamzin, D. Yu. ^{[1
]}

Pereira, F. L. ^{[3
]}

机构：

[1] RAS, Ctr Comp, Moscow 117901, Russia

[2] Peoples Friendship Univ Russia, Dept Nonlinear Anal & Optimizat, Moscow, Russia

[3] Univ Porto, Fac Engn, P-4100 Oporto, Portugal

来源：

OPTIMIZATION | 2010年 / 59卷 / 07期

关键词：

optimal control; maximum principle; mixed constraints;

D O I：

10.1080/02331930903395832

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

In the present work, optimal control problems with mixed constraints are investigated. A novel weakening of the conventional regularity assumptions on mixed constraints is introduced. A maximum principle is derived in which the maximum condition is of nonstandard type: the maximum is taken over the closure of the set of regular points, but not over the whole feasible set.

引用

页码：1067 / 1083

页数：17

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