Analytic form of optimal boundary controls of transverse vibrations of a rod consisting of several parts with different densities and elasticities but with the same impedances
type: Item
instance of: scholarly article
title: Analytic form of optimal boundary controls of transverse vibrations of a rod consisting of several parts with different densities and elasticities but with the same impedances
zbMATH Open document ID: 1231.35257
DOI: 10.1134/S001226611103013X
author: P. V. Luferenko
published in: Differential Equations
publication date: 2011-10-25T00:00:00Z
review text: This paper considers the problem of optimal boundary displacement control (control minimizing the boundary energy functional) of an elastic rod consisting of several parts with different densities and elasticities but with the same impedances. A closed-form expression is obtained for the optimal control bringing the rod from an arbitrarily given initial state to an arbitrarily given terminal state in a given time \(T\).
Mathematics Subject Classification ID: 35Q74
Mathematics Subject Classification ID: 74K10
Mathematics Subject Classification ID: 35Q93
zbMATH DE Number: 5963570
zbMATH Keywords: elastic rod
zbMATH Keywords: optimal boundary displacement control
zbMATH Keywords: boundary energy functional
zbMATH Keywords: transverse vibration
reviewed by: Li Xing
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 5963570