Modal approach to the controllability problem of distributed parameter systems
type: Item
instance of: scholarly article
zbMATH Open document ID: 1249.70019
publication date: 2012-04-10T00:00:00Z
Mathematics Subject Classification ID: 70E60
Mathematics Subject Classification ID: 93C05
zbMATH DE Number: 6022839
author: A. Zuyev
MaRDI profile type: Publication
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title: Modal approach to the controllability problem of distributed parameter systems
published in: Trudy Instituta Prikladnoĭ Matematiki i Mekhaniki
review text: In the paper, the controllability problem for linear differential equations in infinite-dimensional Hilbert space with finite-dimensional control is investigated. Basing on the results of their previous research, the author gives sufficient conditions for approximate controllability of such systems, as well as efficient method of the control design for the approximate controllability problem. This method is founded on the solving of the optimal control problem for a finite-dimensional approximation of the original system. The main purpose of the paper is to apply the results to the study of the controllability of flexible mechanical systems with small dissipation which are described by equations with modal coordinates. The condition for modal frequencies which guaranteed an existence of the solution of approximate controllability problem is obtained.
description: scientific article; zbMATH DE number 6022839