The Hamilton-Jacobi equation of minimal time control

被引：0

作者：

Clarke, FH ^{[1
]}

Nour, C ^{[1
]}

机构：

[1] Univ Lyon 1, Inst Girard Desaruges, F-69622 Villeurbanne, France

来源：

JOURNAL OF CONVEX ANALYSIS | 2004年 / 11卷 / 02期

关键词：

minimal time function; viscosity solutions; geodesic trajectories; proximal analysis; monotonicity of trajectories; nonsmooth analysis;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the solutions of the Hamilton-Jacobi equation that arise in connection with minimal time control, in a new global framework. These solutions, for which we establish existence using the minimal time function as a function of two variables, turn out to be closely related to time-geodesic trajectories.

引用

页码：413 / 436

页数：24

共 21 条

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