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On differential-integral optimal control problems | ||
| Journal of Mathematical Modeling | ||
| مقاله 5، دوره 12، شماره 3، آذر 2024، صفحه 451-462 اصل مقاله (218.11 K) | ||
| نوع مقاله: Research Article | ||
| شناسه دیجیتال (DOI): 10.22124/jmm.2024.26520.2338 | ||
| نویسنده | ||
| Mohammed Shehata* | ||
| Department of Basic Science, Bilbeis Higher Institute For Engineering, Sharqia, Egypt | ||
| چکیده | ||
| In this paper, we will study the optimal control problem of a system containing a differential integral (D-I) operator. We will deduce the necessary optimality conditions and apply it first to the problem of minimum energy to find the lowest energy for an electrical circuit containing a resistor, a coil and a capacitor (RLC circuit), and second to the problem of the minimum time to transfer electrical current in RLC circuit from one state to another in the shortest possible time. | ||
| کلیدواژه‌ها | ||
| Optimal control؛ differential-integral equations؛ minimum energy problem؛ minimum time problem | ||
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آمار تعداد مشاهده مقاله: 49 تعداد دریافت فایل اصل مقاله: 82 |
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