The paper studies the stabilization problem for a class of linear parabolic boundary control systems with a Riesz basis. The author earlier proposed two different feedback control schemes to cope with the difficulties arising from the feedback terms on the boundary; these schemes are based on different ideas, and look fairly different from each other. We show, however, that they are algebraically similar.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-8,
author = {Takao Nambu},
title = {Equivalence of Two Stabilization Schemes for a Class of Linear Parabolic Boundary Control Systems},
journal = {Bulletin of the Polish Academy of Sciences. Mathematics},
volume = {60},
year = {2012},
pages = {187-199},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-8}
}
Takao Nambu. Equivalence of Two Stabilization Schemes for a Class of Linear Parabolic Boundary Control Systems. Bulletin of the Polish Academy of Sciences. Mathematics, Tome 60 (2012) pp. 187-199. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ba60-2-8/