Model Problem in a Line with Two Pursuers and One Evader

被引：43

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

页码：228 / 257

页数：30

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