A differential game of m, 3 <= m <= 6, pursuers and one evader is studied on an icosahedron in R-3. All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is said to be completed if the state of a pursuer coincides with the state of evader at some time. We give a sufficient condition of the completion of pursuit in the game.
Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron / Ibragimov, Gafurjan; Holboyev, Azamat; Ibaydullaev, Tolanbay; Pansera, Bruno Antonio. - In: MATHEMATICS. - ISSN 2227-7390. - 10:9(2022), p. 1435. [10.3390/math10091435]
Pursuit Differential Game with Slow Pursuers on the 1-Skeleton Graph of the Icosahedron
Bruno Antonio Pansera
Methodology
2022-01-01
Abstract
A differential game of m, 3 <= m <= 6, pursuers and one evader is studied on an icosahedron in R-3. All the players move only along the 1-skeleton graph of the icosahedron when the maximal speeds of the pursuers are less than the speed of the evader. Pursuit is said to be completed if the state of a pursuer coincides with the state of evader at some time. We give a sufficient condition of the completion of pursuit in the game.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
