Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions

Yue Wang; Günter Leugering; Tatsien Li

doi:10.1007/s11401-020-0201-1

Chinese Annals of Mathematics, Series B ›› 2020, Vol. 41 ›› Issue (3) : 325 -334. DOI: 10.1007/s11401-020-0201-1

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Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions

Yue Wang ¹^,³^,^a
, Günter Leugering ²^,^b
, Tatsien Li ³^,⁴^,^c

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Abstract

This paper deals with the spatial vibration of an elastic string with masses at the endpoints. The authors derive the corresponding quasilinear wave equation with dynamical boundary conditions, and prove the exact boundary controllability of this system by means of a constructive method with modular structure.

Keywords

Spatial vibration of a string / Exact boundary controllability / Dynamical boundary condition

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Yue Wang,Günter Leugering,Tatsien Li. Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions. Chinese Annals of Mathematics, Series B, 2020, 41(3): 325-334 DOI:10.1007/s11401-020-0201-1