Sidewise control of 1-d waves
Saraç Y, Zuazua Iriondo E (2022)
Publication Language: English
Publication Status: Submitted
Publication Type: Journal article, Original article
Future Publication Type: Journal article
Publication year: 2022
Journal
Book Volume: 193
Pages Range: 931–949
URI: https://dcn.nat.fau.eu/wp-content/uploads/Sarac-Zuazua_Revised-version.pdf
DOI: 10.1007/s10957-021-01986-w
Open Access Link: https://link.springer.com/article/10.1007/s10957-021-01986-w
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.
Authors with CRIS profile
Yesim Sarac
Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)
Additional Organisation(s)
Involved external institutions
Turkey (TR)How to cite
APA:
Saraç, Y., & Zuazua Iriondo, E. (2022). Sidewise control of 1-d waves. Journal of Optimization Theory and Applications, 193, 931–949. https://doi.org/10.1007/s10957-021-01986-w
MLA:
Saraç, Yeşim, and Enrique Zuazua Iriondo. "Sidewise control of 1-d waves." Journal of Optimization Theory and Applications 193 (2022): 931–949.
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