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arXiv · 2107.12663

Problem of optimal control for bilinear systems with endpoint constraint

Soufiane Yahyaoui·Lahoussine Lafhim·Mohamed Ouzahra
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Abstract

In this work, we will investigate the question of optimal control for bilinear systems with constrained endpoint. The optimal control will be characterized through a set of unconstrained minimization problems that approximate the former. Then a class of bilinear systems for which the optimal control can be expressed as a time-varying feedback law will be identified. Finally, applications to parabolic and hyperbolic partial differential equations are provided.

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Soufiane Yahyaoui, Lahoussine Lafhim, Mohamed Ouzahra. 2021-07-27. Problem of optimal control for bilinear systems with endpoint constraint. https://arxiv.org/abs/2107.12663

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