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In this article, we consider the control problem associated with heat transfer. It
is required to find control in order to obtain the average value of temperature. It is proved by a
mathematical method that such a control exists.

  • Web Address
  • DOI
  • Date of creation in the UzSCI system20-07-2022
  • Read count177
  • Date of publication11-06-2020
  • Main LanguageIngliz
  • Pages3-10
English

In this article, we consider the control problem associated with heat transfer. It
is required to find control in order to obtain the average value of temperature. It is proved by a
mathematical method that such a control exists.

Русский

В данной статье рассматривается проблема управления, связанная с
теплообменом. Требуется найти контроль, чтобы получить среднее значение
температуры. Математическим методом доказано, что подобный контроль
существует.

Ўзбек

Ushbu maqolada biz issiqlik almashinishi bilan bog'liq boshqaruv masalasini
ko'rib chiqamiz. Temperaturaning o'rtacha qiymatini olish uchun boshqaruvni topish talab
qilinadi. Matematik usul yordamida bu kabi boshqaruv mavjudligi isbotlangan.

№ Author name position Name of organisation
1 Dexqonov F.N. tayanch doktarant Mirzo Ulug’bek nomidagi O’zbekiston Milliy universiteti, Toshkent, O’zbekiston
№ Name of reference
1 Alimov Sh.A. On a control problem associated with the heat transfer process. Eurasian Mathematical Journal, No. 1, pp. 17-30, 2010.
2 Albeverio S., Alimov Sh.A. On one time-optimal control problem associated with the heat exchange process. Applied Mathematics and Optimization, 47, No. 1, pp. 58-68, 2008.
3 Alimov Sh.A., Dekhkonov F.N. On the time-optimal control of the heat exchange process. Uzbek Mathematical Journal, No. 2, pp. 4-17, 2019.
4 Alimov Sh.A., Dekhkonov F.N. On a control problem associated with fast heating of a thin rod. Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2: Iss. 1, Article 1, 2019.
5 Fattorini H.O. Time-Optimal control of solutions of operational differential equations, SIAM J. Control, 2 pp. 49-65, 1964.
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