Infinite dimensional differential games with hybrid controls

被引：6
|
作者：
Shaiju, A. J.
Dharmatti, Sheetal
机构：
[1] Indian Inst Sci, TIFR Ctr, Bangalore 560012, Karnataka, India
[2] Indian Inst Sci, Dept Math, Bangalore 560012, Karnataka, India
来源：
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES | 2007年 / 117卷 / 02期
关键词：
differential game; strategy; hybrid controls; value; viscosity solution;
D O I：
10.1007/s12044-007-0019-8
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
A two-person zero-sum infinite dimensional differential game of infinite duration with discounted payoff involving hybrid controls is studied. The minimizing player is allowed to take continuous, switching and impulse controls whereas the maximizing player is allowed to take continuous and switching controls. By taking strategies in the sense of Elliott-Kalton, we prove the existence of value and characterize it as the unique viscosity solution of the associated system of quasi-variational inequalities.
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页码：233 / 257
页数：25
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