GUARANTEED PURSUIT TIME OF A LINEAR DIFFERENTIAL GAME WITH GENERALIZED GEOMETRIC CONSTRAINTS ON PLAYERS CONTROL FUNCTIONS
DOI:
https://doi.org/10.58715/bangmodjmcs.2023.9.5Keywords:
Gr¨onwall, Pursuit, Control functions, Guaranteed pursuit timeAbstract
In this study, simple motion differential game of one pursuer and one
evader is considered in Rn. Control functions of the players are subject to
more generalized geometric constraints. Pursuit is said to be completed
at a finite time Γ whenever the distance between both players at time Γ
is zero.We obtain an estimate for the guaranteed pursuit time Γ and construct
pursuer’s strategy that ensure completion of pursuit at the time Γ.
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Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Science
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