Geodesic
Simple pursuit with phase constraints in a~class of impulse strategies
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2012), pp. 48-52

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The present paper deals with a simple group pursuit problem in a class of impulse strategies. The first part considers the impulse strategy of an evader with phase restrictions on the evader's state. It is assumed that the evader does not leave a convex polyhedral set. We obtain sufficient conditions for the capture of the evader by one of the pursuers. The second part deals with the impulse strategies of pursuers. Sufficient conditions for the capture of an evader by one of the pursuers under the assumption that the evader does not leave a convex polyhedral set, are stated.
Keywords: differential game, group pursuit, impulse strategy. 
@article{VUU_2012_3_a4,
     author = {E. V. Kotlyachkova},
     title = {Simple pursuit with phase constraints in a~class of impulse strategies},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {48--52},
     publisher = {mathdoc},
     number = {3},
     year = {2012},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2012_3_a4/}
}
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E. V. Kotlyachkova. Simple pursuit with phase constraints in a~class of impulse strategies. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2012), pp. 48-52. http://geodesic.mathdoc.fr/item/VUU_2012_3_a4/