Problem of optimal control for bilinear systems with endpoint constraint

2021/07/27 by Yahyaoui, Soufiane, Lafhim, Lahoussine, Ouzahra, Mohamed
#FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/arxiv.2107.12663

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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