Displaying similar documents to “Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions”

Exact controllability of a multilayer Rao-Nakra plate with clamped boundary conditions

Scott W. Hansen, Oleg Imanuvilov (2011)

ESAIM: Control, Optimisation and Calculus of Variations

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Exact controllability results for a multilayer plate system are obtained from the method of Carleman estimates. The multilayer plate system is a natural multilayer generalization of a classical three-layer “sandwich plate” system due to Rao and Nakra. The multilayer version involves a number of Lamé systems for plane elasticity coupled with a scalar Kirchhoff plate equation. The plate is assumed to be either clamped or hinged and controls are assumed to be locally distributed in a...

Boundary exact controllability for a porous elastic Timoshenko system

Manoel J. Santos, Carlos A. Raposo, Leonardo R. S. Rodrigues (2020)

Applications of Mathematics

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In this paper, we consider a one-dimensional system governed by two partial differential equations. Such a system models phenomena in engineering, such as vibrations in beams or deformation of elastic bodies with porosity. By using the HUM method, we prove that the system is boundary exactly controllable in the usual energy space. We will also determine the minimum time allowed by the method for the controllability to occur.

Exact Boundary Controllability of a Hybrid System of elasticity by the HUM Method

Bopeng Rao (2010)

ESAIM: Control, Optimisation and Calculus of Variations

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We consider the exact controllability of a hybrid system consisting of an elastic beam, clamped at one end and attached at the other end to a rigid antenna. Such a system is governed by one partial differential equation and two ordinary differential equations. Using the HUM method, we prove that the hybrid system is exactly controllable in an arbitrarily short time in the usual energy space.