Abstract
Exact controllability of a one-dimensional wave equation with locally distributed control in non-cylindrical domain is considered. This equation characterizes the motion of a string with a fixed endpoint and the other moving one. If the adjoint system is observable, this establishes exact controllability of the original system. The adjoint system is observable by multiplier method. Therefore we obtain exact controllability of this equation, when the speed of the moving endpoint is less than wave speed.
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