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Zbl 1157.93324
Negreanu, Mihaela; Zuazua, Enrique
Uniform boundary controllability of a discrete 1-D wave equation. (English)
[J] Syst. Control Lett. 48, No. 3-4, 261-279 (2003). ISSN 0167-6911

Summary: A numerical scheme for the controlled discrete 1-D wave equation is considered. We prove the convergence of the boundary controls of the discrete equations to a control of the continuous wave equation when the mesh size tends to zero when time and space steps coincide. This positive result is in contrast with previous negative ones for space semi-discretizations.
MSC 2000:
*93B05 Controllability
93C20 Control systems governed by PDE

Keywords: Wave equation; Finite-difference discretization; Controllability; Observability

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