Optimal control of vibrations of an elastic beam

Bing Sun

doi:10.1093/imamci/dnp002

Optimal control of vibrations of an elastic beam

Bing Sun^*

^*Corresponding author for this work

School of Mathematics and Statistics

Capital Normal University

Research output: Contribution to journal › Article › peer-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 language	English
Pages (from-to)	151-162
Number of pages	12
Journal	IMA Journal of Mathematical Control and Information
Volume	26
Issue number	2
DOIs	https://doi.org/10.1093/imamci/dnp002
Publication status	Published - 2009

Keywords

Maximum principle
Necessary condition
Non-linear elastic beam
Optimal control

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10.1093/imamci/dnp002

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title = "Optimal control of vibrations of an elastic beam",

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.",

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author = "Bing Sun",

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AB - 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.

KW - Maximum principle

KW - Necessary condition

KW - Non-linear elastic beam

KW - Optimal control

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DO - 10.1093/imamci/dnp002

M3 - Article

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SP - 151

EP - 162

JO - IMA Journal of Mathematical Control and Information

JF - IMA Journal of Mathematical Control and Information

IS - 2

ER -

Optimal control of vibrations of an elastic beam

Abstract

Keywords

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