电邮这篇文章 The problem of trajectories avoiding from rarefied terminal sets
- 作者: Yugay L.P.1
-
隶属关系:
- Uzbek State University of Physical Culture and Sport
- 期: 卷 88, 编号 1 (2024)
- 页面: 67-78
- 栏目: Articles
- URL: https://journals.rcsi.science/0032-8235/article/view/260204
- DOI: https://doi.org/10.31857/S0032823524010058
- EDN: https://elibrary.ru/YUOZHZ
- ID: 260204
如何引用文章
开放存取
##reader.subscriptionAccessGranted##
详细
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.
全文:
作者简介
L. Yugay
Uzbek State University of Physical Culture and Sport
编辑信件的主要联系方式.
Email: yugailp@mail.ru
乌兹别克斯坦, Chirchik
参考
- Pontrjagin L.S. Selected Proceedings. Moscow: MAKS Press, 2004. 552 p. (in Russian)
- Isaacs R. Differential Games. N.Y.: Wiley, 1965.
- Krasovskii N.N., Subbotin A.I. Positional Differential Games. Moscow: Nauka, 1974. 496 p.
- Mishchenko E.F., Nikolskii M.S., Satimov N. The problem of avoiding encounter in several person differential games// Proc. Steklov Inst. of Math., 1977, iss. 143, pp. 105–128. (in Russian)
- Mishchenko E.F., Satimov N. The problem of avoiding encounter in differential games with nonlinear controls // Diff. Eqns., 1973, vol. 9, no. 10, pp. 1792–1797. (in Russian)
- Chernousko F.L., Akulenko L.D., Sokolov B.N. Control of Oscillations. Moscow: Nauka, 1980. 484 p. (in Russian)
- Reshmin S.A., Chernousko F.L. Properties of the time-optimal feedback control for a pendulum-like system // JOTA, 2014, vol.163, no. 1, pp. 230–252.
- Pilipenko Yu.V., Chikrii A.A. The oscillatory conflict controlled processes // JAMM, 1993, vol. 57, iss. 3, pp. 3–14. (in Russian)
- Bolotnik N.N., Nunuparov A.M., Chashchukhin V.G. Capsule-type vibration-driven robot an electromagnetic actuator and an opposing spring: dynamics and control of motion // J. Comput.&Syst. Sci. Int., 2016, vol. 55, no. 6, pp. 986–1000.
- Gusyatnikov P.B., Yugay L.P. On an evasion problem in nonlinear differential games with terminal set of compound structure// Izv. AN SSSR Techn. Kibern., 1977, no. 2, pp. 8–13. (in Russian)
- Mamadaliev N. On an one pursuit problem with integral restrictions on control of players // Sib. Math. J., 2015, vol. 56, no. 1, pp. 129–148. (in Russian)
- Yugay L.P. The problem of trajectories avoiding from rarefied terminal set // Dokl. Math., Inform., Control Proc., 2020, vol. 495,pp. 80–84. doi: 10.31857/S268695432006020X
- Yugay L.P. Nonlinear integral inequalities and differential games of avoiding encounter // in: Recent Developments in Automatic Control Systems. Alsbergvej: River Pub., 2022, pp. 97–111.
- Leihtweis K. Convex Sets. Moscow: Nauka, 1985. 336 p. (in Russian)
- Polovinkin E.S. Multi-Valued Analysis and Differential Inclusions. Moscow: Fizmatlit, 2014. 524 p. (in Russian)
- Kurzhanskii A.B. Control and Observation under Uncertainty. Moscow: Nauka, 1977. 392 p. (in Russian)
- Subbotin A.I., Chentsov A.G. Optimization of Guarantee in Control Problems. Moscow: Nauka, 1981. 288 p. (in Russian)
补充文件
