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.
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.
В данной статье рассматривается проблема управления, связанная с
теплообменом. Требуется найти контроль, чтобы получить среднее значение
температуры. Математическим методом доказано, что подобный контроль
существует.
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.
| № | Имя автора | Должность | Наименование организации |
|---|---|---|---|
| 1 | Dexqonov F.N. | tayanch doktarant | Mirzo Ulug’bek nomidagi O’zbekiston Milliy universiteti, Toshkent, O’zbekiston |
| № | Название ссылки |
|---|---|
| 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. |