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

Gafurjan Ibragimov (), Yusra Salleh (), Idham Arif Alias (), Bruno Antonio Pansera () and Massimiliano Ferrara ()
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Gafurjan Ibragimov: Universiti Putra Malaysia
Yusra Salleh: Universiti Putra Malaysia
Idham Arif Alias: Universiti Putra Malaysia
Bruno Antonio Pansera: University Mediterranea of Reggio Calabria
Massimiliano Ferrara: University Mediterranea of Reggio Calabria

Dynamic Games and Applications, 2023, vol. 13, issue 3, No 6, 819-842

Abstract: Abstract We consider a simple motion evasion differential game of one evader from many pursuers in $${\mathbb {R}}^n$$ 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 $$\varepsilon $$ ε , a strategy for the evader is constructed, which guarantees the evasion in $$\varepsilon $$ ε -neighborhood of a coordinate axis.

Keywords: Differential game; Many pursuers; Coordinate-wise integral constraint; Control; Evasion strategy; Primary: 91A23; Secondary: 49N75 (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1007/s13235-022-00475-7

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