American Institute of Mathematical Sciences

Advanced
2003, 2003(Special): 449-458. doi: 10.3934/proc.2003.2003.449

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

Harry L. Johnson 1, and  David Russell 2,

1. 

Department of Mathematics, Virginia Tech, 460 McBryde Hall, Blacksburg, VA 24061, United States
2. 

418 McBryde Hall, Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123, United States

Received  July 2002 Revised  May 2003 Published  April 2003

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 determination, output specification, distributed parameter systems., tracking, output, motion planning.
Mathematics Subject Classification: 93B03, 93B05, 93C20, 93C9.
Citation: Harry L. Johnson, David Russell. Transfer function approach to output specification in certain linear distributed parameter systems. Conference Publications, 2003, 2003 (Special) : 449-458. doi: 10.3934/proc.2003.2003.449
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