Geodesic
The stability defect of sets in game control problems
Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 178-194

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The stability property in a game problem of the approach of a conflict-controlled system to a goal set at a fixed terminal moment is investigated. The notion of a stability defect is introduced for sets in the space of game positions. 
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     title = {The stability defect of sets in game control problems},
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V. N. Ushakov; Ya. A. Latushkin. The stability defect of sets in game control problems. Trudy Instituta matematiki i mehaniki, Control, stability, and inverse problems of dynamics, Tome 12 (2006) no. 2, pp. 178-194. http://geodesic.mathdoc.fr/item/TIMM_2006_12_2_a15/