A Pursuit–Evasion Differential Game with Slow Pursuers on the Edge Graph of a Simplex. I

2021 ◽  
Vol 82 (11) ◽  
pp. 1996-2005
Author(s):  
A. A. Azamov ◽  
T. T. Ibaydullayev
Keyword(s):  
Differential Game ◽  
Pursuit Evasion ◽  
Edge Graph

scholarly journals A pursuit-evasion differential game with slow pursuers on the edge graph of simplexes. I

2020 ◽  
Vol 12 (4) ◽  
pp. 7-23
Author(s):  
Абдулла Азамов ◽  
Abdulla Azamov ◽  
Толанбай Ибайдуллаев ◽  
Tolanbay Ibaydullayev
Keyword(s):  
Differential Game ◽  
Three Dimensional ◽  
Dimensional Simplex ◽  
Von Neumann ◽  
Pursuit Evasion ◽  
Higher Dimensional ◽  
Edge Graph ◽  
Numerical Coefficient ◽  
Admissible Strategies ◽  
Present Part

We consider the differential game between several pursuing points and one evading point moving along the graph of edges of a simplex when maximal quantities of velocities are given. The normalization of the game in the sense of J. von Neumann including the description of classes of admissible strategies is exposed. In the present part of the paper the qualitative problem for the full graph of three dimensional simplex is solved using the strategy of parallel pursuit for a slower pursuer and some numerical coefficient of a simplex characterizing its proximity to the regular one. Next part will be devoted to higher dimensional cases.

scholarly journals On pursuit-evasion differential game problem in a Hilbert space

2020 ◽  
Vol 5 (6) ◽  
pp. 7467-7479
Author(s):  
Jamilu Adamu ◽  
◽  
Kanikar Muangchoo ◽  
Abbas Ja’afaru Badakaya ◽  
Jewaidu Rilwan ◽  
...  
Keyword(s):  
Hilbert Space ◽  
Differential Game ◽  
Game Problem ◽  
Pursuit Evasion

Hybrid Method Based on Artificial Potential Field and Differential Game Theory for the UAV Path Planing

2014 ◽  
Vol 687-691 ◽  
pp. 260-264
Author(s):  
Feng Tian ◽  
Ji Feng Zou ◽  
Tong Zhang
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Potential Field ◽  
Artificial Potential Field ◽  
Complex Environment ◽  
Pursuit Evasion ◽  
Differential Game Theory ◽  
Evasion Game ◽  
Simulation Results ◽  
Dynamic Path

In this paper, a method of the UAV path planing in the complex environment by using artificial potential field and differential game theory is introduced. This article studies the pursuit evasion game of the dynamic path planing for the UAV. The fly zone of either the pursuer or the evader is divided into two categories, namely the obstacle areas and the obstacle-free areas. So we can use the artificial potential field in the obstacle areas,and we use differential game theory in the obstacle-free areas for the UAV. This method can apply to pursuit-evasion game in the complex environment for the UAV path planing.Not only the UAV can avoid obstacles but also they can find the best capture path.Finally,the simulation results verify its correctness and validity .

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