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Exponential decay for distributed bilinear control systems with damping

✍ Scribed by L. Berrahmoune

Publisher
Springer Milan
Year
1999
Tongue
Italian
Weight
340 KB
Volume
48
Category
Article
ISSN
0009-725X

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πŸ“œ SIMILAR VOLUMES

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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 feed

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The paper considers a particular type of closed-loop for the wave equation in one space dimension with damping acting at an arbitrary internal point, for which the uniform stabilization with exponential decay rate is shown. Applications to chains of coupled strings are also discussed.