Modal approach to the controllability problem of distributed parameter systems with damping
arXiv:1803.00129
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.
This is an updated version of the paper published in: Proceedings of the Institute of Applied Mathematics and Mechanics, 2010, Vol. 21, P. 107-113