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Stabilization and decay estimate for distributed bilinear systems

✍ Scribed by Larbi Berrahmoune

Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
89 KB
Volume
36
Category
Article
ISSN
0167-6911

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✦ Synopsis

In this paper, we consider the problem of feedback stabilization for the distributed bilinear system y (t) = Ay(t)+u(t)By(t).

Here A is the inΓΏnitesimal generator of a linear C 0 semigroup of contractions on a Hilbert space H and B : H β†’ H is a linear bounded operator. A su cient condition for feedback stabilization is given and explicit decay estimate is established. Applications to vibrating systems are presented.

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