A nonlinear differential game

Cybernetics ◽  
1972 ◽  
Vol 4 (1) ◽  
pp. 67-68 ◽  
Author(s):  
E. N. Simakova
Keyword(s):  
Differential Game ◽  
Nonlinear Differential Game

Extremal control in a nonlinear differential game

1972 ◽  
Vol 36 (6) ◽  
pp. 930-947 ◽  
Author(s):  
N.N. Krasovskii
Keyword(s):  
Differential Game ◽  
Nonlinear Differential Game ◽  
Extremal Control

Sufficient condition of completion of a pursuit in a nonlinear differential game

1999 ◽  
Vol 35 (6) ◽  
pp. 960-964
Author(s):  
T. A. Komleva
Keyword(s):  
Differential Game ◽  
Sufficient Condition ◽  
Nonlinear Differential Game

scholarly journals Stochastic optimal control to a nonlinear differential game

2014 ◽  
Vol 2014 (1) ◽  
Author(s):  
Othusitse Basimanebotlhe ◽  
Xiaoping Xue
Keyword(s):  
Optimal Control ◽  
Differential Game ◽  
Stochastic Optimal Control ◽  
Nonlinear Differential Game

scholarly journals The evasion problem in a nonlinear differential game with discrete control

2018 ◽  
Vol 52 ◽  
pp. 75-85
Author(s):  
A.Ya. Narmanov ◽  
◽  
K.A. Shchelchkov ◽  
Keyword(s):  
Differential Game ◽  
Discrete Control ◽  
Nonlinear Differential Game ◽  
Evasion Problem

Nonlinear differential game “pursuit-evasion”: information aspect.

2021 ◽  
Vol 5 ◽  
Author(s):  
◽  
Keyword(s):  
Boundary Value Problem ◽  
Mathematical Models ◽  
Differential Game ◽  
Boundary Value ◽  
Quality Criterion ◽  
Practical Consideration ◽  
Pursuit Evasion ◽  
Nonlinear Differential Game

The article deals with the information aspects of the nonlinear differential game “pursuit-evasion”. The mini- max quality criterion (the price of the game), mathematical models of the movement of the same type of players are set. The main problem that arises in the practical consideration of a nonlinear differential game is the solution of a boundary value problem. It is proved that: 1) a differential game can be represented as an envelope of a family of singular curves (“instantaneous solutions”) constructed from each of its points, 2) the control of the players can be found on this family. The method of constructing instant solutions is justified. The principle of information dualism in the differential game “pursuit-evasion” is proved. Its use facilitates the solution of information and computational problems that arise during the implementation of the game.

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