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BOSHQARUVLAR ARALASH CHEGARALANISHLI BO'LGAN HOL UCHUN YOPIQ SODDA GRAFLARDA QUVISH-QOCHISH MASALASI

Authors: Shayxislom G'ayniddinov Tolibjon o'g'li;

BOSHQARUVLAR ARALASH CHEGARALANISHLI BO'LGAN HOL UCHUN YOPIQ SODDA GRAFLARDA QUVISH-QOCHISH MASALASI

Abstract

{"references": ["1. Azamov A.A. About the quality problem for the games of simple pursuit with the restriction, Serdika. Bulgarian math. spisanie, 12, 1986, - p. 38-43. 2. Azamov A.A., Samatov B.T. The \u041f-Strategy: Analogies and Applications, The Fourth International Conference Game Theory and Management, June 28-30, 2010, St. Petersburg, Russia, Collected papers. - p. 33-47. 3. Chikrii A.A. Conflict-controlled processes, Boston-London-Dordrecht: Kluwer Academ. Publ., 1997, \u2013 424 p. 4. Petrosjan L.A. The Differential Games of pursuit, Leningrad, LSU, 1977, - 224 p. 5. Pshenichnyi B.N. Simple pursuit by several objects. Cybernetics and System Analysis. 1976. 12(3): - p. 484-485. DOI 10.1007/BF01070036. 6. Pshenichnyi B.N., Chikrii A.A., and Rappoport J.S. An efficient method of solving differential games with many pursuers, Dokl. Akad. Nauk SSSR, 1981. - p. 530-535 (in Russian). 7. Azamov A., Kuchkarov A., Holboyev A., Pursuit-Evasion Game on the 1-skeletion of Regular Polyhedrons. Seventh International Conference on Game theory and Management. 26-28 June, 2013. Sankt-Petersburg. 8. \u0410\u0431\u0434\u0443\u043b\u043b\u0430 \u0410.\u0410\u0437\u0430\u043c\u043e\u0432, \u0410\u0442\u0430\u043c\u0443\u0440\u0430\u0442\u0428.\u041a\u0443\u0447\u043a\u0430\u0440\u043e\u0432, \u0410\u0437\u0430\u043c\u0430\u0442\u0413.\u0425\u043e\u043b\u0431\u043e\u0435\u0432. \u0418\u0433\u0440\u0430 \u043f\u0440\u0435\u0441\u043b\u0435\u0434\u043e\u0432\u0430\u043d\u0438\u044f-\u0443\u0431\u0435\u0433\u0430\u043d\u0438\u044f \u043d\u0430 \u0440\u0435\u0431\u0435\u0440\u043d\u043e\u043c \u043e\u0441\u0442\u043e\u0432\u0435 \u043f\u0440\u0430\u0432\u0438\u043b\u044c\u043d\u044b\u0445 \u043c\u043d\u043e\u0433\u043e\u0433\u0440\u0430\u043d\u043d\u0438\u043a\u043e\u0432 I., \u041c\u0430\u0442\u0435\u043c\u0430\u0442\u0438\u0447\u0435\u0441\u043a\u0430\u044f \u0422\u0435\u043e\u0440\u0438\u044f \u0418\u0433\u0440 \u0438 \u0435\u0451 \u041f\u0440\u0438\u043b\u043e\u0436\u0435\u043d\u0438\u044f. \u0422.7, \u0432.3, \u0441. 3-15. 2015 \u0433. 9. \u0410.\u0410. Azamov, \u0410.Sh. Kuchkarov, \u0410.G. Holboyev. The pursuit-evasion game on the 1-skeleton graph of regular polyhedron. I. Automation and Remote Control, 2017, Vol. 78, No. 4, pp. 754\u2013761."]}

Ushbu maqolada fazoda berilgan yopiq graf ustida harakatlanuvchi bitta quvlovchi va bitta qochuvchi bo‘lgan hol uchun tutish-qochish masalas io‘rganiladi. Bu yerda quvlovchining boshqaruv funksiyasiga integral chegaralanish yani energiya boyicha chegaralanish, qochuvchining boshqaruv funksiyasiga esa geometric chegaralanish qoyilgan hol uchun tutish va qochish shartlari topilgan.

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Keywords

graf, quvlovchi, qochuvchi, tezlik, geometric chegaralanish, integral chegaralanish, strategiya, optimal tutishvaqti.

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