Problem of optimal control for bilinear systems with endpoint constraint
Optimization and Control
2021-07-28 v1
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.
Cite
@article{arxiv.2107.12663,
title = {Problem of optimal control for bilinear systems with endpoint constraint},
author = {Soufiane Yahyaoui and Lahoussine Lafhim and Mohamed Ouzahra},
journal= {arXiv preprint arXiv:2107.12663},
year = {2021}
}