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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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Representation of feedback operators for parabolic control problems
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by Belinda B. King PDF
Proc. Amer. Math. Soc. 128 (2000), 1339-1346 Request permission

Abstract:

In this paper we present results on existence and regularity of integral representations of feedback operators arising from parabolic control problems. The existence of such representations is important for the design of low order compensators and in the placement of sensors. This paper extends earlier results of J. A. Burns and B. B. King to problems with $N$ spatial dimensions.
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Additional Information
  • Belinda B. King
  • Affiliation: Department of Mathematics, Oregon State University, Corvallis, Oregon 97331-4605
  • Address at time of publication: Interdisciplinary Center for Applied Mathematics, Virginia Tech, Blacksburg, Virginia 24061-0531
  • Email: bbking@icam.vt.edu
  • Received by editor(s): August 17, 1995
  • Received by editor(s) in revised form: May 17, 1996
  • Published electronically: February 7, 2000
  • Additional Notes: This research was supported in part by the Air Force Office of Scientific Research under grant F49620-93-1-0280 while the author was a visiting scientist at the Air Force Center for Optimal Design and Control, Virginia Polytechnic Institute and State University, Blacksburg, Virginia 24061–0531, and by the National Science Foundation under grant DMS-9409506.
  • Communicated by: John A. Burns
  • © Copyright 2000 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 128 (2000), 1339-1346
  • MSC (1991): Primary 35K05, 47B99, 49J20
  • DOI: https://doi.org/10.1090/S0002-9939-00-05647-1
  • MathSciNet review: 1709756