Abstract
In this paper, we consider a coupled system of two Korteweg-de Vries equations on a bounded domain. We establish the null controllability of this system from the left Dirichlet boundary conditions. Combining the analysis of a linearized system and a fixed point argument, this controllability result is reduced to prove the null controllability of a linearized system with two distributed controls.
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Acknowledgments
I sincerely thank the referee for the recommendation and the interesting suggestions. I also sincerely thank Professor Yong Li for many useful suggestions and help.
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Chen, M. Null Controllability of a Coupled System of Two Korteweg-de Vries Equations from the Left Dirichlet Boundary Conditions. J Dyn Control Syst 23, 19–31 (2017). https://doi.org/10.1007/s10883-015-9299-y
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DOI: https://doi.org/10.1007/s10883-015-9299-y