Sidewise Profile Control of 1-D Waves

Sarac Y, Zuazua E (2022)

Publication Type: Journal article

Publication year: 2022

Journal

Journal of Optimization Theory and Applications Springer Verlag (Germany)

DOI: 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

Enrique Zuazua Iriondo Lehrstuhl für Dynamics, Control, Machine Learning and Numerics (Alexander von Humboldt-Professur)

Involved external institutions

Atatürk University TR Turkey (TR)

How to cite

APA:

Sarac, Y., & Zuazua, E. (2022). Sidewise Profile Control of 1-D Waves. Journal of Optimization Theory and Applications. https://dx.doi.org/10.1007/s10957-021-01986-w

MLA:

Sarac, Yesim, and Enrique Zuazua. "Sidewise Profile Control of 1-D Waves." Journal of Optimization Theory and Applications (2022).

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