On the Synchronizable System

Zhen Lei; Tatsien Li; Bopeng Rao

doi:10.1007/s11401-020-0235-4

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (6) : 821 -828. DOI: 10.1007/s11401-020-0235-4

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On the Synchronizable System

Zhen Lei ¹^,²
, Tatsien Li ¹^,²^,^b
, Bopeng Rao ³

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Abstract

In this paper, the synchronizable system is defined and studied for a coupled system of wave equations with the same wave speed or with different wave speeds.

Keywords

Synchronizable system / Synchronization solution / Coupled system of wave equations / Exact boundary synchronization

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Zhen Lei, Tatsien Li, Bopeng Rao. On the Synchronizable System. Chinese Annals of Mathematics, Series B, 2020, 41(6): 821-828 DOI:10.1007/s11401-020-0235-4

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References

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[1]	Li T T, Rao B P. Exact synchronization for a coupled system of wave equations with Dirichlet boundary controls. Chin. Ann. Math. Ser. B, 2013, 34(1): 139-160

[2]	Li, T. T. and Rao, B. P., Boundary Synchronization for Hyperbolic Systems, Progress in Nonlinear Differential Equations and Their Applications, Subseries in Control, 94, Birkhäuser, 2019.

[3]	Li T T, Lu X, Rao B P. Exact boundary synchronization for a coupled system of wave equations with Neumann boundary controls. Chin. Ann. Math. Ser. B, 2018, 39(2): 233-252

[4]	Li, T. T., Lu, X. and Rao, B. P., Exact boundary controllability and exact boundary synchronization for a coupled system of wave equations with coupled Robin boundary controls, to appear in ESAIM: Control, Optimisation and Calculus of Variations (2020). DOI: https://doi.org/10.1051/cocv/2020047.