Transfer function approach to output specification in certain linear distributed parameter systems

Harry L. Johnson; David Russell

doi:10.3934/proc.2003.2003.449

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2003, Volume 2003: 449-458. Doi: 10.3934/proc.2003.2003.449 open access

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Transfer function approach to output specification in certain linear distributed parameter systems

Harry L. Johnson¹ and
David Russell^2,

1.
Department of Mathematics, Virginia Tech, 460 McBryde Hall, Blacksburg, VA 24061
2.
418 McBryde Hall, Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123

Received: July 2002

Revised: May 2003

Published: March 2003

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Abstract

In this paper we study, using Laplace transform methods, some questions of output determination for the wave equation and the Euler–Bernoulli beam equation. Specifically we study the problem of determining, over a specified time interval, the displacement at a particular spatial point, via control exercised by means of an external force applied at another spatial point. Some indications of a more general theory are given.

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Mathematics Subject Classification: 93B03, 93B05, 93C20, 93C95.

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