scholarly journals A linear differential pursuit game

2005 ◽  
pp. 712-718
Author(s):  
L. S. Pontryagin
Keyword(s):  
Pursuit Game ◽  
Differential Pursuit ◽  
Linear Differential

scholarly journals Minimization of energy costs for UAV management in a conflict task

2021 ◽  
Vol 279 ◽  
pp. 01006
Author(s):  
Viktor Lapshin ◽  
Stanislav Ivanov
Keyword(s):  
Control Strategy ◽  
Game Problem ◽  
Energy Losses ◽  
Energy Costs ◽  
State Variables ◽  
Conflict Task ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit ◽  
Linear Differential

This article considers the method of developing an evader control strategy in the non-linear differential pursuit-evasion game problem. It is assumed that the pursuer resorts to the most probable control strategy in order to capture the evader and that at each moment the evader knows its own and the enemy’s physical capabilities. This assumption allows to bring the game problem down to the problem of a unilateral evader control, with the condition of reaching a saddle point not obligatory to be fulfilled. The control is realised in the form of synthesis and additionally ensures that the requirements for bringing the evader to a specified area with terminal optimization of certain state variables are satisfiedt. The solution of this problem will significantly reduce the energy losses for controlling an unmanned vehicle, the possible effect is to save 15-20 % of fuel with a probability of 0.98, to solve the problem of chasing the enemy.

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