ZERO-SUM DIFFERENTIAL-GAMES INVOLVING IMPULSE CONTROLS

被引：43

作者：

YONG, JM ^{[1
]}

机构：

[1] INRIA,SOPHIA ANTIPOLIS,FRANCE

来源：

APPLIED MATHEMATICS AND OPTIMIZATION | 1994年 / 29卷 / 03期

关键词：

ZERO-SUM DIFFERENTIAL GAME; IMPULSE CONTROL; SWITCHING CONTROL; VISCOSITY SOLUTION;

D O I：

10.1007/BF01189477

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we are concerned with zero-sum differential games with impulse controls, as well as continuous and switching controls. The motivation is optimal impulse control problems with disturbances. The main result is the existence of the value function of the game. Our approach is the theory of viscosity solutions for Hamilton-Jacobi equations.

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页码：243 / 261

页数：19

相关论文

共 25 条

[1] DETERMINISTIC IMPULSE CONTROL-PROBLEMS [J].

BARLES, G .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1985, 23 (03) :419-432

[2] VISCOSITY SOLUTIONS OF ISAACS EQUATIONS AND DIFFERENTIAL-GAMES WITH LIPSCHITZ CONTROLS [J].

BARRON, EN ;

EVANS, LC ;

JENSEN, R .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1984, 53 (02) :213-233

[3]

Bensoussan A, 1984, IMPULSE CONTROL QUAS

[4] THE EXISTENCE OF VALUE AND SADDLE-POINT IN GAMES OF FIXED DURATION [J].

BERKOVITZ, LD .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 1985, 23 (02) :172-196

[5]

BERKOVITZ LD, 1987, APPL MATH OPT, V17, P177

[6]

CAPUZZODOLCETTA I, 1984, SIAM J CONTROL OPTIM, V22, P143

[7]

CRADALL MG, 1984, T AM MATH SOC, V282, P487

[8] VISCOSITY SOLUTIONS OF HAMILTON-JACOBI EQUATIONS [J].

CRANDALL, MG ;

LIONS, PL .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1983, 277 (01) :1-42

[9]

Elliott R., 1972, EXISTENCE VALUE DIFF, V126

[10] DIFFERENTIAL-GAMES AND REPRESENTATION FORMULAS FOR SOLUTIONS OF HAMILTON-JACOBI-ISAACS EQUATIONS [J].

EVANS, LC ;

SOUGANIDIS, PE .

INDIANA UNIVERSITY MATHEMATICS JOURNAL, 1984, 33 (05) :773-797