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Exact Boundary Controllability for the Spatial Vibration of String with Dynamical Boundary Conditions |
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| Authors: | Yue WANG G"{u}nter LEUGERING and Tatsien LI |
| Institution: | Department of Mathematics, Friedrich-Alexander University,Erlangen 91058, Germany; School of Mathematical Sciences, Fudan University, Shanghai 200433, China.,Department of Mathematics, Friedrich-Alexander University,Erlangen-Nuremberg, Cauerstrasse 11, 91058 Erlangen, Germany. and School of Mathematical Sciences, Fudan University, Shanghai 200433, China; Shanghai Key Laboratory for Contemporary Applied Mathematic; Nonlinear Mathematical Modeling and Methods Laboratory. |
| 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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