Continuity of optimal control costs and its application to weak KAM theory

被引：0

作者：

Andrei Agrachev

Paul W. Y. Lee

机构：

[1] International School for Advanced Studies,Department of Mathematics

[2] Steklov Mathematical Institute,undefined

[3] University of California at Berkeley,undefined

来源：

Calculus of Variations and Partial Differential Equations | 2010年 / 39卷

关键词：

35F21; 49L25;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We prove continuity of certain cost functions arising from optimal control of affine control systems. We give sharp sufficient conditions for this continuity. As an application, we prove a version of weak KAM theorem and consider the Aubry–Mather problems corresponding to these systems.

引用

页码：213 / 232

页数：19

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