Regional averaged control problems with minimum energy constrained by distributed parabolic systems
Volume 26, Issue 4, pp 349--356
http://dx.doi.org/10.22436/jmcs.026.04.03
Publication Date: December 08, 2021
Submission Date: November 12, 2021
Revision Date: November 22, 2021
Accteptance Date: November 23, 2021
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Authors
M. Ould Sidi
- RT-M2A Laboratory, Mathematics Department, College of Science, Jouf University, P. O. Box: 2014, Sakaka, Saudi Arabia.
R. Zine
- School of Science and Engineering, Al Akhawayn University in Ifrane, Morocco.
A. A. Mohamed
- Department of Mathematics, College of Science and Humanities in Al-Aflaj, rince Sattam bin Abdulaziz University, Saudi Arabia.
Abstract
This paper study the regional average controllability problems governed by distributed parabolic systems.
We establish the definition and characterization of a system which is regional averaged controllable.
The averaged regional control problem with minimum energy is considered and solved using HUM (Hilbert uniqueness method).
Thereafter, the case of regional gradient averaged controllability is treated.
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ISRP Style
M. Ould Sidi, R. Zine, A. A. Mohamed, Regional averaged control problems with minimum energy constrained by distributed parabolic systems, Journal of Mathematics and Computer Science, 26 (2022), no. 4, 349--356
AMA Style
Ould Sidi M., Zine R., Mohamed A. A., Regional averaged control problems with minimum energy constrained by distributed parabolic systems. J Math Comput SCI-JM. (2022); 26(4):349--356
Chicago/Turabian Style
Ould Sidi, M., Zine, R., Mohamed, A. A.. "Regional averaged control problems with minimum energy constrained by distributed parabolic systems." Journal of Mathematics and Computer Science, 26, no. 4 (2022): 349--356
Keywords
- Distributed systems
- average controllability
- regional controllability
- gradient controllability
- minimum energy
MSC
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