Proceedings of the American Mathematical Society

Author(s): Belinda B. King
Journal: Proc. Amer. Math. Soc. 128 (2000), 1339-1346.
MSC (1991): Primary 35K05, 47B99, 49J20
Posted: February 7, 2000
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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

spatial dimensions.

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Retrieve articles in Proceedings of the American Mathematical Society with MSC (1991): 35K05, 47B99, 49J20

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

DOI: 10.1090/S0002-9939-00-05647-1
PII: S 0002-9939(00)05647-1
Keywords: Integral representation, Riccati operator, parabolic control problem
Received by editor(s): August 17, 1995
Received by editor(s) in revised form: May 17, 1996
Posted: 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 of article: Copyright 2000, American Mathematical Society

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