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Exact Bounded Boundary Controllability to Rest for the Two-Dimensional Wave Equation

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Abstract

The problem of the exact bounded control of oscillations of the two-dimensional membrane is considered. Control force is applied to the boundary of the membrane, which is located in a domain on a plane. The goal of the control is to drive the system to rest in finite time.

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Acknowledgements

This paper was partially supported by a grant of the Ministry of Science and Higher Education of the Russian Federation, Project No. 075-15-2019-1621.

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Correspondence to Igor Romanov.

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Communicated by Felix L. Chernousko.

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Romanov, I., Shamaev, A. Exact Bounded Boundary Controllability to Rest for the Two-Dimensional Wave Equation. J Optim Theory Appl 188, 925–938 (2021). https://doi.org/10.1007/s10957-021-01817-y

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  • DOI: https://doi.org/10.1007/s10957-021-01817-y

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