We consider a simple motion evasion differential game of one evader from many pursuers in R-n. The control functions of players are subjected to coordinate-wise integral constraints. If the position of the evader never coincides with the position of any pursuer, then we say that evasion is possible. In the present paper we obtain sufficient conditions of evasion. For any positive number epsilon, a strategy for the evader is constructed, which guarantees the evasion in epsilon-neighborhood of a coordinate axis.

Evasion from Several Pursuers in the Game with Coordinate-wise Integral Constraints

Pansera, BA
Formal Analysis
;
Ferrara, M
Supervision
2022-01-01

Abstract

We consider a simple motion evasion differential game of one evader from many pursuers in R-n. The control functions of players are subjected to coordinate-wise integral constraints. If the position of the evader never coincides with the position of any pursuer, then we say that evasion is possible. In the present paper we obtain sufficient conditions of evasion. For any positive number epsilon, a strategy for the evader is constructed, which guarantees the evasion in epsilon-neighborhood of a coordinate axis.
Differential game
Many pursuers
Coordinate-wise integral constraint
Control
Evasion strategy
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12318/131428
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