@article{Sidi2024, 
author = {Maawiya Ould Sidi and Rabie Zine and Sid Ahmed Ould Ahmed Mahmoud and Hadi Obaid Alshammari and Sid Ahmed Ould Beinane},
title = {Optimal control problems governed by a class of nonlinear systems},
year = {2024},
journal = {AIMS Mathematics},
volume = {9},
number = {1},
pages = {440-452},
keywords = {nonlinear systems, bilinear systems, optimal control, adjoint method, partial method},
url = {https://www.sciopen.com/article/10.3934/math.2024024},
doi = {10.3934/math.2024024},
abstract = {This article suggested a solution to a flow control problem governed by a class of nonlinear systems called bilinear systems. The problem was initially well-posed, and after it was established that an optimal control solution existed, its characteristics were stated. After that, we demonstrated how to use various bounded feedback controls to make a plate equation's flow close to the required profile. As an application, we resolved the plate equation-governed partial flow control issue. The findings bring up a variety of system applications, which can be employed in engineering advancement.}
}