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

Citation:

Yue WANG,G"{u}nter LEUGERING,Tatsien LI.Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions[J].Chinese Annals of Mathematics B,2020,41(3):325~334
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Authors:

Yue WANG; G"{u}nter LEUGERING;Tatsien LI

Foundation:

This work was supported by the National Natural Science Foundation of China (No.11831011).
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

Classification:

35L05, 35L72, 93B05
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