THE PURSUIT PROBLEM OF CAPTURING AN OBJECT FOR SECOND-ORDER CONTROLS WITH GRONUOLL-TYPE CONSTRAINTS

G‘ayniddinov Shayxislom Tolibjon o‘g‘li

doi:10.5281/zenodo.21059269

25.06.2026

English

THE PURSUIT PROBLEM OF CAPTURING AN OBJECT FOR SECOND-ORDER CONTROLS WITH GRONUOLL-TYPE CONSTRAINTS

Дата публикации

25.06.2026

Журнал

Ta'lim ufqlari

Выпуск

"Ta'lim ufqlari" ilmiy-uslubiy jurnali 2026-yil 1-son

Страницы

57-61

DOI

10.5281/zenodo.21059269

Авторы

G‘ayniddinov Shayxislom Tolibjon o‘g‘li

Аннотация

This article studies the capture (pursuit) problem for second-order differential games in the case where the controls are subject to Gronuoll-type constraints. A parallel pursuit strategy is constructed for the pursuer, and with its help, sufficient conditions for solving the capture problem are presented.

Ключевые слова

Gronuoll-type constraint acceleration capture differential game evader geometric constraint parallel pursuit strategy pursuer

Версии на других языках

Oʻzbekcha

GRONUOLL CHEGARALANISHLI IKKINCHI TARTIBLI BOSHQARUVLAR UCHUN QUVLOVCHINING OBYEKTNI TUTISH MASALASI

Ushbu maqolada boshqaruvlar Gronuoll chegaralanishga ega bo‘lgan hol uchunhamda ikkinchi tartibli differensial o‘yinlar uchun tutish masalasi o‘rganiladi. Bunda quvlovchi uchun parallel quvish strategiyasi quriladi va uning yordamida tutish masalasi uchun yetarli shartlar keltiriladi.

Gronuoll chegaralanishli Tutish differensial o‘yin geometrik chegaralanish parallel quvish strategiyasi qochuvchi quvlovchi tezlanish

Список литературы

1. Isaacs R. Differential games. John Wiley and Sons, New York, 1965.

2. Nahin P.J. Chases and Escapes: The Mathematics of Pursuit and Evasion. Princeton University Press, Princeton, 2012 .

3. Polvanov, Rashid Raximjanovich. "IKKINCHI TARTIBLI GRONUOLL CHEGARALANISHLI BOSHQARUVLAR UCHUN TUTISH MASALASI." RESEARCH AND EDUCATION 2.12 (2023): 62-67.

4. Shayxislom tolibjon og, G. A. (2024). Eyler to ‘g ‘ri chizig ‘i va uning isboti. ORIENTAL JOURNAL OF ACADEMIC AND MULTIDISCIPLINARY REASEARCH, 2(7), 35-40.

5. Холмурадов, Ф. М., Ш. К. Умрзаков, and У. Х. Мамадалиев. "ЎҚУВЧИЛАРДА АБСТРАКТ ТАФАККУРНИ ШАКЛЛАНТИРИШ МЕТОДИКАСИНИ ТАКОМИЛЛАШТИРИШ." Научный Фокус 1.11 (2024): 457-462.

6. Xolmuradov, F. M. (2024). DIFFERENTSIAL TENGLAMALAR FANINI OQITISHDA KONPETENSIYAVIY VA ADAPTIV YONDASHUVLARDAN FOYDALANISH METOKASI. Научный Фокус, 1(11), 172-178.

7. Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Applications. The Fourth International Conference Game Theory and Management , St. Petersburg, Russia: 2010, p. 33-47.

8. Samatov B.T. The Pursuit- Evasion Problem under Integral-Geometric constraints on Pursuer controls. Automation and Remote Control, Pleiades Publishing, Ltd. New York: 2013, 74(7), p. 1072-1081.

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