Exact distributed controllability for the semilinear wave equation.
Liu, Wei-Jiu (2000)
Portugaliae Mathematica
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Liu, Wei-Jiu (2000)
Portugaliae Mathematica
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Carlos Castro (2013)
ESAIM: Control, Optimisation and Calculus of Variations
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We consider the linear wave equation with Dirichlet boundary conditions in a bounded interval, and with a control acting on a moving point. We give sufficient conditions on the trajectory of the control in order to have the exact controllability property.
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.