Quasioptimal Strategies in Differential Pursuit-evasion Games on a Plane

2012 ◽  
Vol 44 (11) ◽  
pp. 29-44
Author(s):  
Sergey V. Pashko
Keyword(s):  
Pursuit Evasion ◽  
Differential Pursuit

scholarly journals Qualitative criterion for interception in a pursuit/evasion game

2009 ◽  
Vol 466 (2117) ◽  
pp. 1365-1371 ◽  
Author(s):  
J. A. Morgan
Keyword(s):  
Nash Equilibrium ◽  
Initial Position ◽  
Initial Time ◽  
Sufficient Condition ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit ◽  
The Future ◽  
Qualitative Criterion ◽  
Future Cone

A qualitative account is given of a differential pursuit/evasion game. A criterion for the existence of an intercept solution is obtained using future cones that contain all attainable trajectories of target or interceptor originating from an initial position. A sufficient and necessary conditon that an opportunity to intercept always exists is that, after some initial time, the future cone of the target be contained within the future cone of the interceptor. The sufficient condition may be regarded as a kind of Nash equilibrium.

scholarly journals Interception in differential pursuit/evasion games

2016 ◽  
Vol 3 (4) ◽  
pp. 335-354 ◽  
Author(s):  
John A. Morgan
Keyword(s):  
Pursuit Evasion ◽  
Differential Pursuit

Stochastic control in a determinate differential pursuit-evasion game

2011 ◽  
Vol 72 (2) ◽  
pp. 305-322 ◽  
Author(s):  
N. N. Krasovskii ◽  
A. N. Kotel’nikova
Keyword(s):  
Stochastic Control ◽  
Pursuit Evasion ◽  
Evasion Game ◽  
Differential Pursuit

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.

Sign in / Sign up

Export Citation Format

Share Document