We present a necessary optimality conditions for a class of optimal control problems. The dynamical control system involves integer and fractional order derivatives and the final time is free. Optimality conditions are obtained. Feedback control laws for linear dynamic system are obtained.
| Published in |
American Journal of Theoretical and Applied Statistics (Volume 6, Issue 5-1)
This article belongs to the Special Issue Statistical Distributions and Modeling in Applied Mathematics |
| DOI | 10.11648/j.ajtas.s.2017060501.17 |
| Page(s) | 46-50 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2024. Published by Science Publishing Group |
Optimal Control, Fractional Differential Equation, Free Time, Lagrange Multipliers and Feedback Control
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APA Style
Mahmoud M. El-borai, Wagdy G. ElSayed, M. A. Abdou, M. Taha E. (2017). On The Fractional Optimal Control Problem with Free End Point. American Journal of Theoretical and Applied Statistics, 6(5-1), 46-50. https://doi.org/10.11648/j.ajtas.s.2017060501.17
ACS Style
Mahmoud M. El-borai; Wagdy G. ElSayed; M. A. Abdou; M. Taha E. On The Fractional Optimal Control Problem with Free End Point. Am. J. Theor. Appl. Stat. 2017, 6(5-1), 46-50. doi: 10.11648/j.ajtas.s.2017060501.17
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Download@article{10.11648/j.ajtas.s.2017060501.17,
author = {Mahmoud M. El-borai and Wagdy G. ElSayed and M. A. Abdou and M. Taha E.},
title = {On The Fractional Optimal Control Problem with Free End Point},
journal = {American Journal of Theoretical and Applied Statistics},
volume = {6},
number = {5-1},
pages = {46-50},
doi = {10.11648/j.ajtas.s.2017060501.17},
url = {https://doi.org/10.11648/j.ajtas.s.2017060501.17},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.s.2017060501.17},
abstract = {We present a necessary optimality conditions for a class of optimal control problems. The dynamical control system involves integer and fractional order derivatives and the final time is free. Optimality conditions are obtained. Feedback control laws for linear dynamic system are obtained.},
year = {2017}
}
TY - JOUR T1 - On The Fractional Optimal Control Problem with Free End Point AU - Mahmoud M. El-borai AU - Wagdy G. ElSayed AU - M. A. Abdou AU - M. Taha E. Y1 - 2017/04/11 PY - 2017 N1 - https://doi.org/10.11648/j.ajtas.s.2017060501.17 DO - 10.11648/j.ajtas.s.2017060501.17 T2 - American Journal of Theoretical and Applied Statistics JF - American Journal of Theoretical and Applied Statistics JO - American Journal of Theoretical and Applied Statistics SP - 46 EP - 50 PB - Science Publishing Group SN - 2326-9006 UR - https://doi.org/10.11648/j.ajtas.s.2017060501.17 AB - We present a necessary optimality conditions for a class of optimal control problems. The dynamical control system involves integer and fractional order derivatives and the final time is free. Optimality conditions are obtained. Feedback control laws for linear dynamic system are obtained. VL - 6 IS - 5-1 ER -
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