Exact controllability of a multilayer Rao-Nakra plate with free boundary conditions
Scott W. Hansen - Department of Mathematics, Iowa State University, Ames, IA 50011, United States (email)
Abstract: Exact controllability of a multilayer plate system with free boundary conditions are obtained by the method of Carleman estimates. The multilayer plate system is a natural multilayer generalization of a three-layer "sandwich plate'' system due to Rao and Nakra. In the multilayer version, $m$ shear deformable layers alternate with $m+1$ layers modeled under Kirchoff plate assumptions. The resulting system involves $m+1$ Lamé systems coupled with a scalar Kirchhoff plate equation. The controls are taken to be distributed in a neighborhood of the boundary. This paper is the sequel to  in which only clamped and hinged boundary conditions are considered.
Keywords: Carleman estimates, exact controllability,
multilayer plate, Lamé system.
Received: October 2010; Revised: April 2011; Available Online: June 2011.
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