Vol. 60, No. 1, pp. 37-70 (2003)
Stability and Controllability of the Electromagneto-Elastic System
S. NicaiseUniversité 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.
Full text of the article:
Electronic version published on: 9 Feb 2006. This page was last modified: 27 Nov 2007.