Conjugate points or variational problems with equality and inequality state constraints

被引：7

作者：

Kawasaki, H ^{[1
]}

Zeidan, V

机构：

[1] Kyushu Univ, Grad Sch Math, Fukuoka 8120053, Japan

[2] Michigan State Univ, Dept Math, E Lansing, MI 48824 USA

[3] Univ Michigan, Dept Ind & Operat Engn, Ann Arbor, MI 48109 USA

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 39卷 / 02期

关键词：

conjugate points; accessory problem; inequality and equality state constraints; Jacobi system; Legendre condition; variational problems; necessary optimality conditions;

D O I：

10.1137/S0363012998345925

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, variational problems with equality and inequality state constraints are considered. The theory of conjugate points for these problems is developed, and necessary conditions for weak local optimality are derived in terms of this concept and the Legendre condition. For the case of inequality constraints, the envelope-like effect is taken into consideration in the accessory problem.

引用

页码：433 / 456

页数：24

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