Stabilization in a linear differential game with integral constraints on the players' control resources

1976 ◽  
Vol 40 (3) ◽  
pp. 398-404
Author(s):  
V.M. Reshetov ◽  
V.N. Ushakov
Keyword(s):  
Differential Game ◽  
Linear Differential Game ◽  
Integral Constraints ◽  
Linear Differential

scholarly journals Linear evasion differential game of one evader and several pursuers with integral constraints

2021 ◽  
Author(s):  
Gafurjan Ibragimov ◽  
Massimiliano Ferrara ◽  
Marks Ruziboev ◽  
Bruno Antonio Pansera
Keyword(s):  
Positive Integer ◽  
Differential Equations ◽  
Total Energy ◽  
Differential Game ◽  
Linear Differential Equations ◽  
State Variables ◽  
Integral Constraints ◽  
Control Functions ◽  
Evasion Strategy ◽  
Linear Differential

AbstractAn evasion differential game of one evader and many pursuers is studied. The dynamics of state variables $$x_1,\ldots , x_m$$ x 1 , … , x m are described by linear differential equations. The control functions of players are subjected to integral constraints. If $$x_i(t) \ne 0$$ x i ( t ) ≠ 0 for all $$i \in \{1,\ldots ,m\}$$ i ∈ { 1 , … , m } and $$t \ge 0$$ t ≥ 0 , then we say that evasion is possible. It is assumed that the total energy of pursuers doesn’t exceed the energy of evader. We construct an evasion strategy and prove that for any positive integer m evasion is possible.

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