Corpus ID: 73530888

Designing right endpoint boundary feedback stabilizers for the linearized Korteweg-de Vries equation using left endpoint boundary measurements

@article{Batal2018DesigningRE,
  title={Designing right endpoint boundary feedback stabilizers for the linearized Korteweg-de Vries equation using left endpoint boundary measurements},
  author={Ahmet Batal and Turker Ozsari},
  journal={arXiv: Optimization and Control},
  year={2018}
}
In this paper, we design an observer for the linearized Korteweg-de Vries (KdV) equation posed on a finite domain. We assume that there is a sensor at the left end point of the domain capable of measuring the first and second order boundary traces of the solution. Using only the partial information available, we construct Dirichlet-Neumann boundary controllers for the original system acting at the right endpoint so that the system becomes exponentially stable. Stabilization of the original… Expand

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