Null controllability of a damped Mead-Markus sandwich beam

Rajeev Rajaram; Scott W. Hansen

doi:10.3934/proc.2005.2005.746

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2005, Volume 2005: 746-755. Doi: 10.3934/proc.2005.2005.746 open access

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Null controllability of a damped Mead-Markus sandwich beam

Rajeev Rajaram¹ and
Scott W. Hansen^2,

1.
Iowa State University, Department of Mathematics, Ames, IA 50011
2.
Department of Mathematics, Iowa State University, Ames, IA 50011

Received: August 31, 2004

Revised: February 28, 2005

Published: August 2005

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Abstract

The Mead-Markus sandwich beam model with shear damping is shown to be null controllable modulo a one dimensional state in an arbitrarily short time. The moment method is used to obtain this result.

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Mathematics Subject Classification: Primary: 93B05, 80A20; Secondary: 70H25.

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