Electron. J. Diff. Eqns., Vol. 2001(2001), No. 25, pp. 1-10.

Uniform stability of displacement coupled second-order equations

A. Soufyane

Abstract:
We prove that the uniform stability of semigroups associated to displacement coupled dissipator systems is equivalent to the uniform stability of velocity coupled dissipator systems. Using this equivalence, we give sufficient conditions for obtaining uniform stability and exact controllability of displacement coupled dissipator systems.

Submitted November 28, 2000. Published April 17, 2001.
Math Subject Classifications: 34K35, 35B37, 37N35, 93B52, 93B05, 93D15.
Key Words: Uniform stability, exact controllability, velocity coupled dissipator, displacement coupled dissipator.

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Abdelaziz Soufyane
University of Franche Comte
Laboratoire de Physique et Metrologie des Oscillateurs
32, Avenue de l'observatoire,
25044 Besan\c{c}on Cedex. France.
e-mail: asoufyane@lpmo.edu
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