Cardinal Hermit Functions and their Application in Solving the Time-Delay Fractional Optimal Control Problems

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YOSEFI F.; ORDOKHANI Y.

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Journal: JOURNAL OF ELECTRONIC AND CYBER DEFENCE Year:2021 | Volume:8 | Issue:4 (32) Page(s): 153-160

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Title

Cardinal Hermit Functions and their Application in Solving the Time-Delay Fractional Optimal Control Problems

Author(s)

YOSEFI F. | ORDOKHANI Y. | Issue Writer Certificate

Keywords

Fractional Optimal Control Problem of Time DelayQ1

Operational MatricesQ1

Cardinal Hermite FunctionsQ1

Abstract

In this paper, a new numerical method for solving the fractional optimal control problem of the time delay is presented. The fractional integral and the fractional derivative are the Riemann-Liouville type and the Caputo type, respectively. In this method, the Cardinal Hermite Functions are used as a basis to approximate functions. Moreover, we obtain the fractional and delay integral Operational Matrices and use them to solve this optimal control problem. Using the collocation method, the problem leads to a system of algebraic equations, that is solved by Newton's iterative method. Finally, numerical examples are presented to investigate the efficiency of this method.

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APA: Copy

YOSEFI, F., & ORDOKHANI, Y.. (2021). Cardinal Hermit Functions and their Application in Solving the Time-Delay Fractional Optimal Control Problems. JOURNAL OF ELECTRONIC AND CYBER DEFENCE, 8(4 (32) ), 153-160. SID. https://sid.ir/paper/388019/en

Vancouver: Copy

YOSEFI F., ORDOKHANI Y.. Cardinal Hermit Functions and their Application in Solving the Time-Delay Fractional Optimal Control Problems. JOURNAL OF ELECTRONIC AND CYBER DEFENCE[Internet]. 2021;8(4 (32) ):153-160. Available from: https://sid.ir/paper/388019/en

IEEE: Copy

F. YOSEFI, and Y. ORDOKHANI, “Cardinal Hermit Functions and their Application in Solving the Time-Delay Fractional Optimal Control Problems,” JOURNAL OF ELECTRONIC AND CYBER DEFENCE, vol. 8, no. 4 (32) , pp. 153–160, 2021, [Online]. Available: https://sid.ir/paper/388019/en

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