Abstract
In this paper the exact internal controllability for a coupled system of wave equations with arbitrarily given coupling matrix is established. Based on this result, the exact internal synchronization and the exact internal synchronization by p-groups are successfully considered.
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Conflicts of interest Tatsien LI is an editor-in-chief for Chinese Annals of Mathematics Series B and was not involved in the editorial review or the decision to publish this article. All authors declare that there are no conflicts of interest.
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This work was supported by the National Natural Science Foundation of China (No. 11831011).
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Zu, C., Li, T. & Rao, B. Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations. Chin. Ann. Math. Ser. B 44, 641–662 (2023). https://doi.org/10.1007/s11401-023-0036-7
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DOI: https://doi.org/10.1007/s11401-023-0036-7
Keywords
- Exact internal controllability
- Exact internal synchronization by groups
- Coupled system of wave equations