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- Title
Sidewise Profile Control of 1-D Waves.
- Authors
Saraç, Yeşim; Zuazua, Enrique
- Abstract
We analyze the sidewise controllability for the variable coefficients one-dimensional wave equation. The control is acting on one extreme of the string with the aim that the solution tracks a given path or profile at the other free end. This sidewise profile control problem is also often referred to as nodal profile or tracking control. The problem is reformulated as a dual observability property for the corresponding adjoint system, which is proved by means of sidewise energy propagation arguments in a sufficiently large time, in the class of BV-coefficients. We also present a number of open problems and perspectives for further research.
- Subjects
ARGUMENT
- Publication
Journal of Optimization Theory & Applications, 2022, Vol 193, Issue 1-3, p931
- ISSN
0022-3239
- Publication type
Article
- DOI
10.1007/s10957-021-01986-w