Model Problem in a Line with Two Pursuers and One Evader

被引：42
|
作者：
Ganebny, Sergey A. [1 ]
Kumkov, Sergey S. [1 ]
Le Menec, Stephane [2 ]
Patsko, Valerii S. [1 ]
机构：
[1] Inst Math & Mech, Ekaterinburg 620990, Russia
[2] EADS MBDA France, F-92358 Le Plessis Robinson, France
来源：
DYNAMIC GAMES AND APPLICATIONS | 2012年 / 2卷 / 02期
关键词：
Pursuit-evasion differential game; Linear dynamics; Value function; Optimal feedback control; DIFFERENTIAL GAME; EVASION GAMES; SURFACES;
D O I：
10.1007/s13235-012-0041-z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An antagonistic differential game is considered where motion occurs in a straight line. Deviations between the first and second pursuers and the evader are computed at the instants T-1 and T-2, respectively. The pursuers act in coordination. Their aim is to minimize the resultant miss, which is equal to the minimum of the deviations happened at the instants T-1 and T-2. Numerical study of value function level sets (Lebesgue sets) for qualitatively different cases is given. A method for constructing optimal feedback controls is suggested on the basis of switching lines. The results of a numerical simulation are shown.
引用
收藏
页码：228 / 257
页数：30
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