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- Title
Controllability of the wave equation via multiplicative controls.
- Authors
Harraki, I El; Boutoulout, A
- Abstract
In this paper, we study the controllability for the multidimensional wave equation. The first part deals with the linear wave equation with unbounded damping. Two multiplicative controls are constructed to conduct the solution of the system to a neighbourhood of the desired equilibrium state. The second part treats the controllability of the semi-linear wave equation. We show the approximate controllability for this problem, and we prove the exact controllability for the one-dimensional case using bilinear controls.
- Subjects
WAVE equation; CONTROLLABILITY in systems engineering; BILINEAR forms; BOUNDARY value problems; DYNAMICAL systems
- Publication
IMA Journal of Mathematical Control & Information, 2018, Vol 35, Issue 2, p393
- ISSN
0265-0754
- Publication type
Article
- DOI
10.1093/imamci/dnw055