Invariant solutions of differential games and Hamilton-Jacobi-Isaacs equations for time-measurable Hamiltonians

被引：25

作者：

Cardaliaguet, P

Plaskacz, S

机构：

[1] Univ Paris 09, Ctr VJC, ERS 2064, F-75775 Paris, France

[2] Nicholas Copernicus Univ, Dept Math & Informat, PL-87100 Torun, Poland

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2000年 / 38卷 / 05期

关键词：

differential games; Hamilton-Jacobi-Isaacs equation; viscosity solutions; time-measurable Hamiltonians;

D O I：

10.1137/S0363012998296219

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

We characterize invariance of time-varying domains with respect to differential games with time-measurable dynamics. We deduce from this result a new definition of viscosity solutions to some first order Hamilton-Jacobi equations with time-measurable Hamiltonians.

引用

页码：1501 / 1520

页数：20

共 18 条

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