A RNN- and UKF-based approach to Differential-Pursuit Evasion Games with Delayed Information

2019 ◽  
Author(s):  
◽  
Kathrin Khadra
Keyword(s):  
Pursuit Evasion ◽  
Delayed Information ◽  
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.

Linear differential pursuit games with delayed information

Cybernetics ◽  
1975 ◽  
Vol 10 (2) ◽  
pp. 348-351
Author(s):  
G. Ts. Dzyubenko
Keyword(s):  
Delayed Information ◽  
Pursuit Games ◽  
Differential Pursuit ◽  
Linear Differential

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

SOLUTION OF A DELAYED INFORMATION LINEAR PURSUIT-EVASION GAME WITH BOUNDED CONTROLS

1999 ◽  
Vol 01 (03n04) ◽  
pp. 197-217 ◽  
Author(s):  
JOSEF SHINAR ◽  
VALERY Y. GLIZER
Keyword(s):  
Differential Equation ◽  
Perfect Information ◽  
The Other ◽  
Lateral Acceleration ◽  
First Order ◽  
Pursuit Evasion ◽  
Delayed Information ◽  
Bounded Controls ◽  
Evasion Game ◽  
Information Delay

A class of linear pursuit-evasion games with first-order acceleration dynamics and bounded controls is considered, where the evader has perfect information and the pursuer has delayed information on the lateral acceleration of the evader. The other state variables are perfectly known to the pursuer. This game can be transformed to a perfect information delayed control game with a single state variable, the centre of the uncertainty domain created by the information delay. The delayed dynamics of the game is transformed to a linear first-order partial differential equation coupled with an integral-differential equation, both without delay. These equations are approximated by a set of K + 1 ordinary differential equations of first order, creating an auxiliary game. The necessary conditions of optimality derived for the auxiliary game lead to the solution of the delayed control game by a limit process as K → + ∞. The solution has the same structure as the other, already solved, perfect information linear pursuit-evasion games with bounded controls and indicates that the value of the delayed information pursuit-evasion game is never zero. Asymptotic expressions of the value of the game for small and large values of the information delay are derived.

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