# A computational method on derivative variations of optimal control

Volume 28, Issue 2, pp 203--212
Publication Date: May 27, 2022 Submission Date: February 08, 2022 Revision Date: March 02, 2022 Accteptance Date: April 16, 2022
• 164 Views

### Authors

E. Rentsen - The Institute of Mathematics and Digital Technology, Mongolian Academy of Sciences, National University of Mongolia, Mongolia. M. Kamada - Department of Computer and Information Sciences, Ibaraki University, Japan. A. Radwan - Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Al-Jouf-Sakaka, Kingdom of Saudi Arabia. - Department of Mathematics, Faculty of Science, Sohag University, Egypt. W. Alrashdan - Department of Mathematics, College of Science, Jouf University, P.O. Box 2014, Al-Jouf-Sakaka, Kingdom of Saudi Arabia.

### Abstract

In this paper, we propose an algorithm for solving optimal control problems in a class of continuously differentiable control functions with bounded derivatives. Based on derivative variations [R. Enkhbat, B. Barsbold, J. Mongolian Math. Soc., $\bf 17$ (2013), 27--39], we derive new optimality conditions for the original problem. An algorithm has been constructed based on the optimality conditions. The convergence of the proposed algorithm has been proved. The algorithm was tested on some well known numerical examples.

### Share and Cite

##### ISRP Style

E. Rentsen, M. Kamada, A. Radwan, W. Alrashdan, A computational method on derivative variations of optimal control, Journal of Mathematics and Computer Science, 28 (2023), no. 2, 203--212

##### AMA Style

Rentsen E., Kamada M., Radwan A., Alrashdan W., A computational method on derivative variations of optimal control. J Math Comput SCI-JM. (2023); 28(2):203--212

##### Chicago/Turabian Style

Rentsen, E., Kamada, M., Radwan, A., Alrashdan, W.. "A computational method on derivative variations of optimal control." Journal of Mathematics and Computer Science, 28, no. 2 (2023): 203--212

### Keywords

• Calculus of variations
• optimal control
• derivative variation
• optimality conditions

•  49M05
•  49K99