Defect of stability in game-pursuit problem

V. N. Ushakov   ; A. R. Matviychuk   ; P. D. Lebedev

Vestnik Udmurtskogo universiteta. Matematika, mehanika, kompʹûternye nauki, no. 3 (2010), pp. 87-103

Résumé

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.

Détail

Keywords: game pursuit problem, stable bridge, Hamiltonian, stability defect of the set.

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