# Modal approach to the controllability problem of distributed parameter systems with damping

@article{Zuyev2018ModalAT, title={Modal approach to the controllability problem of distributed parameter systems with damping}, author={Alexander Zuyev}, journal={arXiv: Optimization and Control}, year={2018} }

This paper is devoted to the controllability analysis of a class of linear control systems in a Hilbert space. It is proposed to use the minimum energy controls of a reduced lumped parameter system for solving the infinite dimensional steering problem approximately. Sufficient conditions of the approximate controllability are formulated for a modal representation of a flexible structure with small damping.

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