Skip Navigation


IMA Journal of Mathematical Control and Information Advance Access originally published online on April 27, 2009
IMA Journal of Mathematical Control and Information 2009 26(2):151-162; doi:10.1093/imamci/dnp002
This Article
Right arrow Full Text (PDF)
Right arrow All Versions of this Article:
26/2/151    most recent
dnp002v1
Right arrow Alert me when this article is cited
Right arrow Alert me if a correction is posted
Services
Right arrow Email this article to a friend
Right arrow Similar articles in this journal
Right arrow Alert me to new issues of the journal
Right arrow Add to My Personal Archive
Right arrow Download to citation manager
Right arrowRequest Permissions
Google Scholar
Right arrow Articles by Sun, B.
Social Bookmarking
Add to CiteULike   Add to Connotea   Add to Del.icio.us  
What's this?

© The author 2009. Published by Oxford University Press on behalf of the Institute of Mathematics and its Applications. All rights reserved.

Optimal control of vibrations of an elastic beam

Bing Sun{dagger}

Department of Mathematics, Beijing Institute of Technology, Beijing 100081, People's Republic of China and School of Mathematical Science, Capital Normal University, Beijing 100048, People's Republic of China

{dagger} Email: sunamss{at}gmail.com, sunbing{at}amss.ac.cn

Received on March 13, 2008; Revision received October 6, 2008. Accepted on December 22, 2008

This paper is concerned with the optimal control problem of the vibrations of an elastic beam, which is governed by a non-linear partial differential equation. The functional analytical approach of Dubovitskii and Milyutin is adopted in investigation of the Pontryagin's maximum principle of the system. The necessary condition is presented for the optimal control problem in fixed final horizon case.

Keywords: non-linear elastic beam; optimal control; maximum principle; necessary condition.


Add to CiteULike CiteULike   Add to Connotea Connotea   Add to Del.icio.us Del.icio.us    What's this?




Disclaimer: Please note that abstracts for content published before 1996 were created through digital scanning and may therefore not exactly replicate the text of the original print issues. All efforts have been made to ensure accuracy, but the Publisher will not be held responsible for any remaining inaccuracies. If you require any further clarification, please contact our Customer Services Department.