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Time discrete wave equations: Boundary observability and control
(Discrete and Continuous Dynamical Systems, 2009-12-31)
In this paper we study the exact boundary controllability of a trapezoidal time discrete wave equation in a bounded domain. We prove that the projection of the solution in an appropriate filtered space is exactly controllable ...
Stabilization of the wave equation on 1-D networks
(SIAM Journal on Control and Optimization, 2009-12-31)
In this paper we study the stabilization of the wa ve equation on general 1-d networks. For that, we transfer known observability results in the context of control problems of conservative systems (see [R. Dáger and E. ...