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The problem of trajectories avoiding from rarefied terminal sets
- Authors: Yugay L.P.1
-
Affiliations:
- Uzbek State University of Physical Culture and Sport
- Issue: Vol 88, No 1 (2024)
- Pages: 67-78
- Section: Articles
- URL: https://ruspoj.com/0032-8235/article/view/675075
- DOI: https://doi.org/10.31857/S0032823524010058
- EDN: https://elibrary.ru/YUOZHZ
- ID: 675075
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Abstract
The problem of trajectories avoiding in nonlinear conflict-controlled processes (differential games) in L.S. Pontrjagin and E.F. Mishchenko statement is considered. Terminal sets have a particular rarefied structure. Unlike other works, they consist of countable points and may have a limit points. New sufficient conditions and evasion methods are obtained, which make it possible to solve a number of avoiding trajectory problems of oscillatory systems, including the swinging problem of the generalized mathematical pendulum.
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About the authors
L. P. Yugay
Uzbek State University of Physical Culture and Sport
Author for correspondence.
Email: yugailp@mail.ru
Uzbekistan, Chirchik
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