Optimal control of vibrations of an elastic beam

Bing Sun*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)

Abstract

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.

Original languageEnglish
Pages (from-to)151-162
Number of pages12
JournalIMA Journal of Mathematical Control and Information
Volume26
Issue number2
DOIs
Publication statusPublished - 2009

Keywords

  • Maximum principle
  • Necessary condition
  • Non-linear elastic beam
  • Optimal control

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