Geodesic
Stability defect of maximal stable bridge in approaching game problem with closed target
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1.

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Procedure of smoothing of stable bridge boundary is suggested. Theoretical estimation of the stability defect defect for the constructed set is given.
Keywords: differential game, stability defect, smoothing. 
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V. N. Ushakov; A. A. Uspenskii. Stability defect of maximal stable bridge in approaching game problem with closed target. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 39 (2012) no. 1. http://geodesic.mathdoc.fr/item/IIMI_2012_39_1_a66/

[1] Krasovskii N.N., Subbotin A.I., Pozitsionnye differentsialnye igry, Nauka, M., 1974, 456 pp.

[2] Ushakov V.N., Latushkin Ya.A., “Defekt stabilnosti mnozhestv v igrovykh zadachakh upravleniya”, Trudy Instituta matematiki i mekhaniki UrO RAN, 12:2 (2006), 178–194

[3] Ushakov V.N., Uspenskii A.A., Malev A.G., “Otsenka defekta stabilnosti mnozhestva pozitsionnogo pogloscheniya, podvergnutogo diskriminantnym preobrazovaniyam”, Trudy Instituta matematiki i mekhaniki UrO RAN, 17:2 (2011), 209–224 | MR | Zbl