Geodesic
Defect of stability in game-pursuit problem
Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 87-103

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The article is about the sets in the phase space of a game-pursuit problem, which are not stable in general. Conception of the stability defect is researched. The sets with simple geometry are constructed based on the stability defect, the extremal aiming on them provides the achieving of the goal set neighborhood for the first player.
Keywords: game pursuit problem, stable bridge, Hamiltonian, stability defect of the set. 
@article{VUU_2010_3_a10,
     author = {V. N. Ushakov and A. R. Matviychuk and P. D. Lebedev},
     title = {Defect of stability in game-pursuit problem},
     journal = {Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹ\^uternye nauki},
     pages = {87--103},
     publisher = {mathdoc},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VUU_2010_3_a10/}
}
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V. N. Ushakov; A. R. Matviychuk; P. D. Lebedev. Defect of stability in game-pursuit problem. Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 87-103. http://geodesic.mathdoc.fr/item/VUU_2010_3_a10/