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 Inghamtype inequalities, adapted for complex frequencies, and exponential decay on various frequency bands. We then...

BACKGROUND Managing inter-fractional anatomy changes is a challenging task in radiotherapy of pancreatic tumors, especially in scanned carbon-ion delivery. This treatment planning study aims to focus on clinically feasible solutions, such as the beam angle selection and margin design to increase the robustness against inter-fractional uncertainties. METHODS This study included 10 patients wit...

A study of beam-beam collisions for an asymmetric single pass SuperB-Factory is presented [1]. In this scheme an e and an e + beam are first stored and damped in two Damping Rings (DR), then extracted, compressed and focused to the IP. After collision the two beams are re-injected in the DR to be damped and extracted for collision again. The explored beam parameters are similar to those used in...

The Mead-Markus sandwich beam model with shear damping is shown to be null controllable modulo a one dimensional state in an arbitrarily short time. The moment method is used to obtain this result.