Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations

Chengxia Zu , Tatsien Li , Bopeng Rao

Chinese Annals of Mathematics, Series B ›› 2023, Vol. 44 ›› Issue (5) : 641 -662.

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Chinese Annals of Mathematics, Series B ›› 2023, Vol. 44 ›› Issue (5) : 641 -662. DOI: 10.1007/s11401-023-0036-7
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Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations

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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.

Keywords

Exact internal controllability / Exact internal synchronization by groups / Coupled system of wave equations

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Chengxia Zu, Tatsien Li, Bopeng Rao. Exact Internal Controllability and Synchronization for a Coupled System of Wave Equations. Chinese Annals of Mathematics, Series B, 2023, 44(5): 641-662 DOI:10.1007/s11401-023-0036-7

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