Nonlinear boundary control problem of hyperbolic systems

Bouhamed, Abdelhak; kabouss, Abella El; Bouzahir, Hassane

doi:10.1080/23307706.2022.2140079

Cited by 2 publications

(1 citation statement)

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“…In [9], they have studied an optimal control problem for the heat equation in order to give a control that leads to a state as class as possible to a target state, only on a subregion of the domain of evolution under unbounded controls sets. Then , In in [3], the authors offer an optimal control issue of hyperbolic systems with nonlinear boundary control The characterization is obtained by deriving necessary conditions that an optimal control must satisfy. In the current work, the main contribution of this paper is the application of techniques developed in ([6, 8, 9, 3]) to the optimal control problem of an output of a kirchoof plate equation with bilinear boundary controls.…”

Section: Introductionmentioning

confidence: 99%

An output of Kirchhoff Plate Equation with Bilinear Boundary controls

kabouss

Bouhamed

Bouzahir

2022

Preprint

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The current work focuses on the regional optimal control issue of the Kirchhoff Plate equation con- trols in a spatial domain Ω ⊂ R2, with constrained bilinear controls operating on the boundary of such an equation. It primarily concerns the tracking of a target state during the time interval[0,T], exclusively on a subregion of ω ⊂ Ω, minimizing a specified energy cost. Then we demonstrate that there is an optimal control, which is defined as a solution to an optimality system. MSC: 93B05

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Section: Introductionmentioning

confidence: 99%