Semiconcavity results for optimal control problems admitting no singular minimizing controls

被引：28

作者：

Cannarsa, P. ^{[1
]}

Rifford, L. ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Nice Sophia Antipolis, Labo JA Dieudonne, UMR 6621, F-06108 Nice, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-ANALYSE NON LINEAIRE | 2008年 / 25卷 / 04期

关键词：

optimal control; semiconcavity; sub-Riemannian geometry;

D O I：

10.1016/j.anihpc.2007.07.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Semiconcavity results have generally been obtained for optimal control problems in absence of state constraints. In this paper, we prove the semiconcavity of the value function of an optimal control problem with end-point constraints for which all minimizing controls are supposed to be nonsingular. (C) 2007 Elsevier Masson SAS. All rights reserved.

引用

页码：773 / 802

页数：30

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