Portugaliae Mathematica   EMIS ELibM Electronic Journals PORTUGALIAE
Vol. 60, No. 1, pp. 37-70 (2003)

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Stability and Controllability of the Electromagneto-Elastic System

S. Nicaise

Université de Valenciennes et du Hainaut Cambrésis,
Institut des Sciences et Techniques de Valenciennes,
F-59313 -- Valenciennes Cedex 9 -- FRANCE

Abstract: We consider the stabilization of the nonstationary electromagneto-elastic system in a bounded region with a Lipschitz boundary by means of nonlinear boundary feedbacks. This requires the validity of some stability estimate in the linear case that may be checked in some particular situations. As a consequence we get an explicit decay rate of the energy for appropriate feedbacks. By Russell's principle we further get some exact controllability results.

Keywords: elasticity system; Maxwell's system; stability; nonlinear feedbacks.

Classification (MSC2000): 93D15, 93B05, 93C20.

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Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.

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