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Reachable states in boundary control of the heat equation are independent of time†

Published online by Cambridge University Press:  14 November 2011

H. O. Fattorini
H. O. Fattorini
Affiliation:
Departments of Mathematics and System Science, University of California, Los Angeles
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Synopsis

It is known that the class of all reachable states in boundary control of systems described by parabolic equations in one space dimension is independent of the time during which control is applied. This result is generalized here to systems governed by the heat equation in an arbitrary number of space variables.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 81 , Issue 1-2 , 1978 , pp. 71 - 77
Copyright
Copyright © Royal Society of Edinburgh 1978

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