Email this article An Addition to the Definition of a Stable Bridge and an Approximating System of Sets in Differential Games
- Authors: Ushakov V.N.1,2, Ukhobotov V.I.3, Lipin A.E.2
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Affiliations:
- N. N. Krasovskii Institute of Mathematics and Mechanics
- Ural Federal University named after the First President of Russia B. N. Yeltsin
- Chelyabinsk State University
- Issue: Vol 304, No 1 (2019)
- Pages: 268-280
- Section: Article
- URL: https://journals.rcsi.science/0081-5438/article/view/175756
- DOI: https://doi.org/10.1134/S0081543819010206
- ID: 175756
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Abstract
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.
About the authors
V. N. Ushakov
N. N. Krasovskii Institute of Mathematics and Mechanics; Ural Federal University named after the First President of Russia B. N. Yeltsin
Author for correspondence.
Email: ushak@imm.uran.ru
Russian Federation, ul. S. Kovalevskoi 16, Yekaterinburg, 620990; ul. Mira 19, Yekaterinburg, 620002
V. I. Ukhobotov
Chelyabinsk State University
Author for correspondence.
Email: ukh@csu.ru
Russian Federation, ul. Brat’ev Kashirinykh 129, Chelyabinsk, 454001
A. E. Lipin
Ural Federal University named after the First President of Russia B. N. Yeltsin
Author for correspondence.
Email: tony.lipin@yandex.ru
Russian Federation, ul. Mira 19, Yekaterinburg, 620002
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