Eigenvector approximate dichotomic basis method for solving hyper‐ sensitive optimal control problems

@inproceedings{Rao1999EigenvectorAD,
  title={Eigenvector approximate dichotomic basis method for solving hyper‐ sensitive optimal control problems},
  author={A. V. Rao and Kenneth D. Mease},
  year={1999}
}
The dichotomic basis method is further developed for solving completely hyper-sensitive Hamiltonian boundary value problems arising in optimal control. For this class of problems, the solution can be accurately approximated by concatenating an initial boundary-layer segment, an equilibrium segment, and a terminal boundary-layer segment. Constructing the solution in this composite manner alleviates the sensitivity. The method uses a dichotomic basis to decompose the Hamiltonian vector field into… CONTINUE READING

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