164

  • Internet havola
  • DOI
  • UzSCI tizimida yaratilgan sana 26-12-2023
  • O'qishlar soni 164
  • Nashr sanasi 25-12-2023
  • Asosiy tilO'zbek
  • Sahifalar66-70
Kalit so'z
English

Abstract: In the theory of differential games, the issues of geometric, integral and their joint
limitations have been sufficiently studied. In this lecture, the escape problem of the second-order
differential game is studied, with the introduction of new control classes under the name of Granwalltype boundedness to the control functions. The theory of differential games is considered today as an
important link in the theory of mathematical management as a theory widely studied at the international
level and applied in various fields. This dissertation is also devoted to the study of topical issues of
differential games, which explores chase-escape issues for players acting with acceleration, i.e. chaseescape Masas of second-order differential games. In this case, various delimitations are considered to
the controls. It is expected to implement parallel chase srategia in the solution of the chase issue. It is
planned to find the necessary and sufficient conditions for eviction issues.
 

№ Havola nomi
1 1. Gronwall T.H. Note on the derivatives with respect to a parameter of the solutions of a system of differential equations. Ann. Math., 1919, 20(2): 293- 296. https://zbmath.org/authors/gronwall.thomas
2 ttps://zbmath.org/authors/gronwall.thomas 2. 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. https://www.researchgate.net/publication/26882958 1_On_the_quality_problem_for_simple_pursuit_ga mes_with_constraint
3 3. Azamov A.A., Samatov B.T. П-Strategy. An Elementary introduction to the Theory of Differential Games. - T.: National Univ. of Uzb., 2000. - 32 p. https://cajmtcs.centralasianstudies.org/index.php/C AJMTCS/article/view/89
4 4. Azamov A.A., Samatov B.T. The ПStrategy: Analogies and Appli-cations, The Fourth International Conference Game Theory and Management, June 28-30, 2010, St. Petersburg, Russia, Collected papers. - P.33-47. https://zenodo.org/records/7495576
5 5. Azamov A., Kuchkarov A.Sh. Generalized 'Lion Man' Game of R. Rado, Contributions to game theori and management. Second International Conference "Game Theory and Management" - St.Petersburg, Graduate School of Manage-ment SPbU. - St.Petersburg, 2009. - Vol.11. - P. 8-20. https://dspace.spbu.ru/bitstream/11701/1233/ 1/Vol2.pdf
6 6. Azamov A.A., Kuchkarov A.Sh., Samatov B.T. The Relation between Problems of Pursuit, Controllability and Stability in the Large in Linear Systems with Different Types of Constraints, J.Appl.Maths and Mechs. - Elsevier. - Netherlands, 2007. - Vol. 71. - N 2. - P. 229-233. https://www.researchgate.net/publication/24 5144708_The_relation_between_problems_of_purs uit_controllability_and_stability_in_the_large_in_l inear_systems_with_different_types_of_constraints
7 7. Barton J.C, Elieser C.J. On pursuit curves, J. Austral. Mat. Soc. B. - London, 2000. - Vol. 41.- N 3. - P. 358-371.
8 8. Borovko P., Rzymowsk W., Stachura A. Evasion from many pursuers in the simple case, J. Math. Anal. And Appl. - 1988. - Vol.135. - N 1. - P. 75-80.
9 9. Chikrii A.A. Conflict-controlled processes, Boston-London-Dordrecht: Kluwer Academ. Publ., 1997, 424 p.
10 10. Fleming W. H. The convergence problem for differential games, J. Math. Anal. Appl. - 1961. - N 3. - P. 102-116.
11 11. A. Friedman. Differential Games, New York: Wiley, 1971, - 350 p.
12 12. Hajek O. Pursuit Games: An Introduction to the Theory and Appli-cations of Differential Games of Pursuit and Evasion. - NY.:Dove. Pub. 2008. - 288 p.
13 13. Isaacs R. Differential Games, J. Wiley, New York-London-Sydney, 1965, 384p.
14 14. Ibragimov G.I. Collective pursuit with integral constrains on the controls of players, Siberian Advances in Mathematics, 2004, v.14, No.2, - P.13-26.
15 15. Ibragimov G.I., Azamov A.A., Khakestari M. Solution of a linear pursuit-evasion game with integral constraints, ANZIAM Journal. Electronic Supplement. - 2010. - Vol.52. - P. E59-E75.
16 16. Krasovskii A.N., Choi Y.S. Stochastic Control with the Leaders-Stabilizers. - Ekaterinburg: IMM Ural Branch of RAS, 2001. - 51 p.
17 17. Krasovskii A.N., Krasovskii N.N. Control under Lack of Information. - Berlin etc.: Birkhauser, 1995. – 322, p.
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