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

Pages: 449 - 458, Issue Special, July 2003

 Abstract        Full Text (198.1K)              

Harry L. Johnson - Department of Mathematics, Virginia Tech, 460 McBryde Hall, Blacksburg, VA 24061, United States (email)
David Russell - 418 McBryde Hall, Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, United States (email)

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.

Keywords:  output, output determination, output specification, motion planning, tracking, distributed parameter systems.
Mathematics Subject Classification:  93B03, 93B05, 93C20, 93C95.

Received: July 2002;      Revised: May 2003;      Published: April 2003.