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Exponential decay domain of energy for wave equation under feedback control

Exponential decay domain of energy for wave equation under feedback control This paper deals with the energy estimate of wave equation with boundary and distributed feedback action. It is shown that the energy of the system decays exponentially if the feedback parameters are in some domain (i.e., the so-called exponential decay domain). And the dependence on the feedback parameters of the energy exponential decay estimate is obtained. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png "Acta Mathematicae Applicatae Sinica, English Series" Springer Journals

Exponential decay domain of energy for wave equation under feedback control

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References (3)

Publisher
Springer Journals
Copyright
Copyright © Science Press 1999
ISSN
0168-9673
eISSN
1618-3932
DOI
10.1007/bf02669829
Publisher site
See Article on Publisher Site

Abstract

This paper deals with the energy estimate of wave equation with boundary and distributed feedback action. It is shown that the energy of the system decays exponentially if the feedback parameters are in some domain (i.e., the so-called exponential decay domain). And the dependence on the feedback parameters of the energy exponential decay estimate is obtained.

Journal

"Acta Mathematicae Applicatae Sinica, English Series" – Springer Journals

Published: Jul 1, 1999

Keywords: Wave equation; boundary feedback; distributed feedback; energy estimate; exponential decay

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