No-gap second-order optimality conditions for optimal control problems with a single state constraint and control

被引：32

作者：

Bonnans, J. Frederic ^{[1
]}

Hermant, Audrey ^{[1
]}

机构：

[1] INRIA Futurs, Ecole Polytech, CMAP, F-91128 Palaiseau, France

来源：

MATHEMATICAL PROGRAMMING | 2009年 / 117卷 / 1-2期

关键词：

optimal control; second-order optimality conditions; state constraint; quadratic growth; regular junctions; SUFFICIENT CONDITIONS; SENSITIVITY-ANALYSIS; INEQUALITY CONSTRAINTS; LOCAL MINIMUM; OPTIMIZATION PROBLEMS; TANGENT SETS; SPACE; 1ST;

D O I：

10.1007/s10107-007-0167-8

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 ; 0835 ;

摘要：

The paper deals with optimal control problems with only one control variable and one state constraint, of arbitrary order. We consider the case of finitely many boundary arcs and touch times. We obtain a no-gap theory of second-order conditions, allowing to characterize second-order quadratic growth.

引用

页码：21 / 50

页数：30

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