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math.OC2020
Numerical approximation of the averaged controllability for the wave equation with unknown velocity of propagation
Mouna Abdelli, Carlos Castro
We propose a numerical method to approximate the exact averaged boundary control of a family of wave equations depending on an unknown parameter sigma. More precisely the control,…
math.OC2019
Singular asymptotic expansion of the exact control for a linear model of the Rayleigh beam
Arnaud Munch, Carlos Castro
The Petrowsky type equation $y_{tt}^\eps+\eps y_{xxxx}^\eps - y_{xx}^\eps=0$, $\eps>0$ encountered in linear beams theory is null controllable through Neumann boundary controls. Du…