An Addition to the Definition of a Stable Bridge and an Approximating System of Sets in Differential Games


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We present some modifications of the definitions of a u-stable bridge and of an approximating system of sets in a game problem of approach at a fixed instant of time. These modifications are aimed at developing and substantiating algorithms for approximate construction of solutions in approach game problems.

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V. Ushakov

N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin

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Email: ushak@imm.uran.ru
俄罗斯联邦, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002

V. Ukhobotov

Chelyabinsk State University

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Email: ukh@csu.ru
俄罗斯联邦, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454001

A. Lipin

Ural Federal University named after the First President of Russia B. N. Yeltsin

编辑信件的主要联系方式.
Email: tony.lipin@yandex.ru
俄罗斯联邦, ul. Mira 19, Yekaterinburg, 620002

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