On differential-integral optimal control problems

Document Type : Research Article

Author

Department of Basic Science, Bilbeis Higher Institute For Engineering, Sharqia, Egypt

Abstract

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. 

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Journal of Mathematical Modeling
Volume 12, Issue 3
September 2024
Pages 451-462

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