Research Communication | Open Access
Volume 2019 | Communication ID 274
Volume 2019 | Communication ID 274
| Uniform Indirect Boundary Controllability of Semi-Discrete 1-d Coupled Wave Equations |
Abdeladim El Akri, Lahcen Maniar
Received |
Accepted |
Published |
Feb 07, 2019 |
Feb 26, 2019 |
Mar 01, 2019 |
Abstract: In this talk, we treat the problem of uniform exact boundary controllability for the finite-difference space semi-discretization of the 1-d coupled wave equations with a control acting only in one equation. First, we show how, after filtering the high frequencies of the discrete initial data in an appropriate way, we can construct a sequence of uniformly (with respect to the mesh size) bounded controls. Thus, we prove that the weak limit of the aforementioned sequence is a control for the continuous system. The proof of our results is based on the moment method and on the construction of an ...