Partial exact controllability and exponential stability in higher-dimensional linear thermoelasticity
Weijiu Liu (2010)
ESAIM: Control, Optimisation and Calculus of Variations
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The problem of partial exact boundary controllability and exponential stability for the higher-dimensional linear system of thermoelasticity is considered. By introducing a velocity feedback on part of the boundary of the thermoelastic body, which is clamped along the rest of its boundary, to increase the loss of energy, we prove that the energy in the system of thermoelasticity decays to zero exponentially. We also give a positive answer to a related open question raised by Alabau...