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

2018/02/28 by Zuyev, Alexander
#93B05 #93C25 #FOS: Mathematics #Optimization and Control (math.OC)

paper · doi:10.48550/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.

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