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Output stabilisation for a class of linear parabolic differential equations*

Published online by Cambridge University Press:  14 November 2011

Takao Nambu
Takao Nambu
Affiliation:
Department of Mathematics, Faculty of Engineering, Kumamoto University, Kumamoto 860, Japan.
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Synopsis

We study the output stabilisation for a class of linear parabolic differential equations in a Hilbert space by means of feedback controls. The output is given as a finite number of linear functionals. Stabilisationof the state, of course, implies stabilisation of the output. In the present paper, however, we give a sufficient condition (an algebraic condition on the above functionals) for the output stabilisation, which is weakerin some sense than that for the state stabilisation.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 110 , Issue 1-2 , 1988 , pp. 125 - 133
Copyright
Copyright © Royal Society of Edinburgh 1988

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