Optimal control problems governed by a class of nonlinear systems

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...

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Bibliographic Details
Main Authors: Maawiya Ould Sidi, Rabie Zine, Sid Ahmed Ould Ahmed Mahmoud, Hadi Obaid Alshammari, Sid Ahmed Ould Beinane
Format: Article
Language:English
Published: AIMS Press 2024-01-01
Series:AIMS Mathematics
Subjects:
Online Access:https://www.aimspress.com/article/doi/10.3934/math.2024024?viewType=HTML
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Summary: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.
ISSN:2473-6988