Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators

@article{Fujimoto2005NonlinearIR,
  title={Nonlinear input-normal realizations based on the differential eigenstructure of Hankel operators},
  author={Kenji Fujimoto and Jacquelien M. A. Scherpen},
  journal={IEEE Transactions on Automatic Control},
  year={2005},
  volume={50},
  pages={2-18}
}
This paper investigates the differential eigenstructure of Hankel operators for nonlinear systems. First, it is proven that the variational system and the Hamiltonian extension with extended input and output spaces can be interpreted as the Ga/spl circ/teaux differential and its adjoint of a dynamical input-output system, respectively. Second, the Ga/spl circ/teaux differential is utilized to clarify the main result the differential eigenstructure of the nonlinear Hankel operator which is… CONTINUE READING

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