384

In  this work    is considered   a differtial game of  the second order, when control 
functions  of  the  players  satisfies  geometric  constraints.  The  proposed  method  substantiates  the 
parallel  approach  strategy    in    this    differential  game  of  the  second  order.  The  new  sufficient 
solvability conditions are obtained for  problem of the pursuit.

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  • DOI
  • UzSCI тизимида яратилган сана 07-12-2020
  • Ўқишлар сони 375
  • Нашр санаси 07-12-2020
  • Мақола тилиIngliz
  • Саҳифалар сони3-8
English

In  this work    is considered   a differtial game of  the second order, when control 
functions  of  the  players  satisfies  geometric  constraints.  The  proposed  method  substantiates  the 
parallel  approach  strategy    in    this    differential  game  of  the  second  order.  The  new  sufficient 
solvability conditions are obtained for  problem of the pursuit.

Ўзбек

Ushbu  maqolada  boshqaruvlar  geometrik  chegaralanishga  ega  hol  uchun 
ikkinchi  tartibli  differensial  o’yinlar  o’rganiladi.  Bunda  quvlovchi    uchun  parallel  quvish 
strategiyasi quriladi va uning yordamida  tutish masalasi yechiladi.  

Русский

В  работе  рассматривается  дифференциальная  игра  второго  порядка 
при  геометрических  ограничениях  на  управления  игроков.  При  этом  предлагается 
стратегия параллельного преследования для преследователя и при помощи этой стратегии 
решается задача преследования. 

№ Муаллифнинг исми Лавозими Ташкилот номи
1 Mirzamaxmudov U.A.
2 Samatov B.T.
3 Inomiddinov S.N.
№ Ҳавола номи
1 Azamov A. On the quality problem for simple pursuit games with constraint // Serdica Bulgariacae math. Publ. – Sofia, 1986. - Vol. 12. - № 1. – P. 38-43.
2 Azamov A.A., Samatov B.T. The П-Strategy: Analogies and Applications // The Fourth International Conference Game Theory and Management , June 28-30, 2010, St. Petersburg, Russia, Collected papers. – Р. 33-47.
3 Isaacs R. Differential Games. – New York: John &Wiley, 1971. – 480 p.
4 Kuchkarov A.Sh., Ibragimov G.I. An Analogue of the P-strategy and Pursuit and Evasion Differential Games with many Pursuers on a Surface // Game Theory and Management, St.Petersburg, Graduate School of Management SPbU. – St. Petersburg, 2010. - Vol.3. – P. 247-256.
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