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Bilinear Boundary Optimal Control of a Kirchhoff Plate Equation

EasyChair Preprint no. 6255

23 pagesDate: August 7, 2021


This work is devoted to the study of optimal control of a Kirchhoff plate equation, where the control enters the system bilinearly through the boundary such as coefficient like $hz$. The cost functional consists of the energy and the difference between the solution the system at final time, and a desired state in $L^2$-norm. For a closed convex set, we prove the existence of an optimal control that minimizes the cost functional using a priori estimates. Then, using the differentiability of the cost functional with respect of the control, we establish the characterization by deriving necessary conditions that an optimal control must satisfy.

Keyphrases: Boundary bilinear control, Kirchhoff plate equation, optimal control problem

BibTeX entry
BibTeX does not have the right entry for preprints. This is a hack for producing the correct reference:
  author = {Abdelhak Bouhamed and Abella El Kabouss and Hassane Bouzahir},
  title = {Bilinear Boundary Optimal Control of a Kirchhoff Plate Equation},
  howpublished = {EasyChair Preprint no. 6255},

  year = {EasyChair, 2021}}
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