Julian Edward

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We consider the problem of boundary control for a one dimensional wave equation with N interior point masses. We assume the control is at the left end, and the string is fixed the right end. Singularities in waves are " smoothed " out to one order as they cross a point mass. We show that the reachable set for a L 2 control equals (L 2 × H −1) ⊕ (H 1 × L 2)(More)
In this paper we study the null-controllability of a beam equation with hinged ends and structural damping, the damping depending on a positive parameter. We prove that this system is exactly null controllable in arbitrarily small time. This result is proven using a combination of Ingham-type inequalities, adapted for complex frequencies, and exponential(More)
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