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In this article is considered the problem of R. Isaac’s "Life-line", when liner constraint is imposed on the pursuer control class which is a generalization of integral as well as geometric constraints and only a geometric constraint is imposed on the evader control class and here it is studied for win of the pursuer

  • Internet ҳавола
  • DOI
  • UzSCI тизимида яратилган сана 24-11-2022
  • Ўқишлар сони 220
  • Нашр санаси 12-11-2020
  • Мақола тилиIngliz
  • Саҳифалар сони22-27
English

In this article is considered the problem of R. Isaac’s "Life-line", when liner constraint is imposed on the pursuer control class which is a generalization of integral as well as geometric constraints and only a geometric constraint is imposed on the evader control class and here it is studied for win of the pursuer

Ўзбек

Ushbu maqolada R.Ayzeksning «Qutulish chizig’i o’yini» masalasi, quvlovchining boshqaruvi chiziqli chegaralanishga, ya’ni integral va geometrik chegaralanishlarning umumlashgan holida, qochuvchinig boshqaruvi esa faqat geometrik chegaralanishga ega holda masala ko’riladi va bunda o’yin quvlovchining foydasiga hal bo’lish holi uchun o’rganilgan

Русский

В этой статье рассматривается задаша Р. Айзекса игра с «линией жизни», когда на класс управлений преследователя налагается линейное огранишение, которое является обобщением как интегральных, так и геометришеских огранишений; а на класс управлений убегающего - только геометришеское и здесь изушена слушай выигрыша преследователя.

№ Муаллифнинг исми Лавозими Ташкилот номи
1 Samatov B.T. DSc of physics-mathematics, professor Namangan state university
2 Xorilov .A. Basic doctoral student Namangan state university
3 Sobitov R.A. teacher at the chair of Mathematics Namangan state university
№ Ҳавола номи
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2 Azamov A.A., Samatov B.T.(2010) The -Strategy: Analogies and Applications. The Fourth International Conference Game Theory and Management, St.Petersburg: 33–47.
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5 Chikrii A.A. (1997) Conflict-Controlled Processes. Kluwer, Dordrecht
6 Fleming W.H. (1957) A note on differential games of prescribed duration. Contributions to the Theory of Games. 3: 407–416.
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9 Isaacs R. (1965) Differential games. John Wiley and Sons, New York
10 Ibragimov G.I., Abd Rasid N., Kuchkarov A.Sh. and Ismail F. (2015) Multi pursuer differential game of optimal approach with integral constraints on controls of players. Taiwanese Journal of Mathematics, 19(3):963–976, Doi: 10.11650/tjm.19.2015.2288
11 Petrosjan L.A. (1993). Differential games of pursuit. Series on optimization, Vol.2. World Scientific Poblishing, Singapore
12 Samatov B.T. (2013) On a Pursuit-Evasion Problem under a Linear Change of the Pursuer Resource. Siberian Advances in Mathematics, Allerton Press, Inc.Springer. New York: 23(4): 294–302.
13 Samatov B.T. (2013) The Pursuit- Evasion Problem under Integral-Geometric constraints on Pursuer controls. Automation and Remote Control, Pleiades Publishing, Ltd. New York. 74(7): 1072–1081.
14 Samatov B.T. (2014) The Π-strategy in a differential game with linear control constraints. J. Appl. Maths and Mechs, Elsevier. Netherlands. 78(3): 258–263.
15 Pontryagin L.S. (2004) Selected Works. MAKS Press, Moscow
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17 Samatov B.T.(2013) Problems of group pursuit with integral constraints on controls of the players I. Cybernetics and Systems Analysis, 49(5): 756–767.
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