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Мақолада ҳаракатланувчи объектларнинг бошланғич ҳолатлари ва бошланғич тезликлари чизиқли боғлиқ ҳамда бошқарувлари геометрик чегараланишга эга ҳол учун иккинчи тартибли дифференциал
ўйинларда қувиш-қочиш масаласи ўрганилган. Бунда қувувчи ва қочувчи учун янги етарлилик шартлари таклиф қилинган.

 

  • Internet havola
  • DOI
  • UzSCI tizimida yaratilgan sana 16-08-2022
  • O'qishlar soni 0
  • Nashr sanasi 04-11-2019
  • Asosiy tilO'zbek
  • Sahifalar13-19
Ўзбек

Мақолада ҳаракатланувчи объектларнинг бошланғич ҳолатлари ва бошланғич тезликлари чизиқли боғлиқ ҳамда бошқарувлари геометрик чегараланишга эга ҳол учун иккинчи тартибли дифференциал
ўйинларда қувиш-қочиш масаласи ўрганилган. Бунда қувувчи ва қочувчи учун янги етарлилик шартлари таклиф қилинган.

 

Русский

В настоящей статье изучается задача преследования-убегания для дифференциальных игр второго порядка, когда начальные состояния и начальные скорости игроков линейно зависимы при геометрических
ограничениях на управления. Получены новые достаточные условия разрешимости для задач преследования и убегания.

 

English

In this paper, we study the pursuit-evasion problem for the second order differential game when the initial positions of moving objects are linearly dependent and controls of the players have geometric constraints. The new
sufficient solvability conditions are obtained for problems of the pursuit and evasion.

 

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