Singular Paths in Differential Games with Simple Motion

1994 ◽  
pp. 125-135 ◽  
Author(s):  
Arik A. Melikyan
Keyword(s):  
Differential Games ◽  
Simple Motion

scholarly journals Simple Motion Pursuit and Evasion Differential Games with Many Pursuers on Manifolds with Euclidean Metric

2016 ◽  
Vol 2016 ◽  
pp. 1-8 ◽  
Author(s):  
Atamurat Kuchkarov ◽  
Gafurjan Ibragimov ◽  
Massimiliano Ferrara
Keyword(s):  
Euclidean Space ◽  
Differential Games ◽  
Differential Game ◽  
Finite Time ◽  
The State ◽  
Simple Motion ◽  
Euclidean Metric ◽  
Pursuit Game ◽  
Pursuit And Evasion ◽  
Evasion Game

We consider pursuit and evasion differential games of a group ofmpursuers and one evader on manifolds with Euclidean metric. The motions of all players are simple, and maximal speeds of all players are equal. If the state of a pursuer coincides with that of the evader at some time, we say that pursuit is completed. We establish that each of the differential games (pursuit or evasion) is equivalent to a differential game ofmgroups of countably many pursuers and one group of countably many evaders in Euclidean space. All the players in any of these groups are controlled by one controlled parameter. We find a condition under which pursuit can be completed, and if this condition is not satisfied, then evasion is possible. We construct strategies for the pursuers in pursuit game which ensure completion the game for a finite time and give a formula for this time. In the case of evasion game, we construct a strategy for the evader.

Near Optimal Strategy for Nonlinear Stochastic Differential Games Based on the Technique of Statistical Linearization

2014 ◽  
Vol 39 (4) ◽  
pp. 390-399
Author(s):  
Ping ZHANG ◽  
Yang-Wang FANG ◽  
Xiao-Bin HUI ◽  
Xin-Ai LIU ◽  
Liang LI
Keyword(s):  
Differential Games ◽  
Optimal Strategy ◽  
Stochastic Differential Games ◽  
Statistical Linearization

A Numerical Method for Solving Time-Optimal Differential Games with a Lifeline

2020 ◽  
Vol 81 (8) ◽  
pp. 1545-1561
Author(s):  
N.V. Munts ◽  
S.S. Kumkov
Keyword(s):  
Numerical Method ◽  
Differential Games ◽  
Time Optimal
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