We consider the problem of boundary control of an elastic system with coupling to a potential equation. The potential equation represents the linearized motions of an incompressible inviscid fluid in a cavity bounded in part by an elastic membrane. Sufficient control is placed on a portion of the elastic membrane to insure that the uncoupled membrane is exactly controllable. The main result is that if the density of the fluid is sufficiently small, then the coupled system is exactly controllable....
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 neighborhood...
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 neighborhood...
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