DIFFERENTIAL GAMES AND ZUBOV'S METHOD

被引：5

作者：

Gruene, Lars ^{[1
]}

Serea, Oana Silvia ^{[2
]}

机构：

[1] Univ Bayreuth, Math Inst, Fak Math & Phys, D-95440 Bayreuth, Germany

[2] Univ Perpignan, F-66100 Perpignan, France

来源：

SIAM JOURNAL ON CONTROL AND OPTIMIZATION | 2011年 / 49卷 / 06期

关键词：

asymptotic null controllability; differential games; Lyapunov functions; Hamilton-Jacobi-Bellman equation; viscosity solutions; Zubov's method; HAMILTON-JACOBI EQUATIONS; LYAPUNOV FUNCTIONS; STABILIZATION; ATTRACTION; STABILITY; SYSTEMS;

D O I：

10.1137/100787829

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper we provide generalizations of Zubov's equation to differential games without the Isaacs condition. We show that both generalizations of Zubov's equation (which we call the min-max and max-min Zubov equation, respectively) possess unique viscosity solutions which characterize the respective controllability domains. As a consequence, we show that under the usual Isaacs condition the respective controllability domains as well as the local controllability assumptions coincide.

引用

页码：2349 / 2377

页数：29

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