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Avtomat. i Telemekh., 2008, Issue 3, Pages 7–16 (Mi at617)  

This article is cited in 2 scientific papers (total in 2 papers)

Systems with Distributed Parameters

Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time

V. A. Il'in, E. I. Moiseev

M. V. Lomonosov Moscow State University

Abstract: The problem of the boundary control optimization by shift or elastic force at one end of the string over a sufficiently long arbitrary time interval was solved by minimizing the $L_p$-norm of the derivative of control by shift or the $L_p$-norm of control by elastic force. Solution was established in an explicit analytical form which is valid for all $p\ge1$.

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English version:
Automation and Remote Control, 2008, 69:3, 354–362

Bibliographic databases:

PACS: 02.30.Yy
Presented by the member of Editorial Board: . . 

Received: 16.01.2007

Citation: V. A. Il'in, E. I. Moiseev, “Optimization of the boundary control by shift or elastic force at one end of string in a sufficiently long arbitrary time”, Avtomat. i Telemekh., 2008, no. 3, 7–16; Autom. Remote Control, 69:3 (2008), 354–362

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. Romanovskii R.K., Churasheva N.G., “Optimal Boundary Control of a Hyperbolic System of Heat Equations”, Dokl. Math., 86:2 (2012), 622–625  crossref  mathscinet  zmath  isi  elib  elib  scopus
    2. Muravey L.A., Petrov V.M., Romanenkov A.M., “The Problem of Damping the Transverse Oscillations on a Longitudinally Moving String”, Mordovia Univ. Bull., 28:4 (2018), 472–485  crossref  isi
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