A simple approach to dynamic stabilization of a rotating body-beam

Boumediène Chentouf

doi:10.1016/j.aml.2005.03.008

A simple approach to dynamic stabilization of a rotating body-beam

Boumediène Chentouf^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

11 Citations (Scopus)

Abstract

In this paper, we use the frequency multiplier method to provide a simple proof of an exponential stabilization result, obtained in [B. Chentouf. Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity, J. Appl. Math. 2 (2004) 107-126], for a rotating body-beam system with a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam.

Original language	English
Pages (from-to)	97-107
Number of pages	11
Journal	Applied Mathematics Letters
Volume	19
Issue number	1
DOIs	https://doi.org/10.1016/j.aml.2005.03.008
Publication status	Published - Jan 2006
Externally published	Yes

Keywords

Dynamic boundary control
Exponential stability
Frequency multiplier domain method
Rotating body-beam

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2005.03.008

Cite this

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title = "A simple approach to dynamic stabilization of a rotating body-beam",

abstract = "In this paper, we use the frequency multiplier method to provide a simple proof of an exponential stabilization result, obtained in [B. Chentouf. Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity, J. Appl. Math. 2 (2004) 107-126], for a rotating body-beam system with a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam.",

keywords = "Dynamic boundary control, Exponential stability, Frequency multiplier domain method, Rotating body-beam",

author = "Boumedi{\`e}ne Chentouf",

note = "Funding Information: The author acknowledges the support of Sultan Qaboos University. ",

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AB - In this paper, we use the frequency multiplier method to provide a simple proof of an exponential stabilization result, obtained in [B. Chentouf. Dynamic boundary controls of a rotating body-beam system with time-varying angular velocity, J. Appl. Math. 2 (2004) 107-126], for a rotating body-beam system with a control torque applied on the rigid body and either a dynamic boundary control moment or a dynamic boundary control force or both of them applied at the free end of the beam.

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KW - Exponential stability

KW - Frequency multiplier domain method

KW - Rotating body-beam

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A simple approach to dynamic stabilization of a rotating body-beam

Abstract

Keywords

ASJC Scopus subject areas

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