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

Alexander Zuyev

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arXiv · 1803.00129

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

Alexander Zuyev

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Abstract

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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Alexander Zuyev. 2018-02-28. Modal approach to the controllability problem of distributed parameter systems with damping. https://arxiv.org/abs/1803.00129

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