Eigenstructure of nonlinear Hankel operators
نویسندگان
چکیده
This paper investigates the eigenstructure of Hankel operators for nonlinear systems. It is proved that the variational system and Hamiltonian extension can be interpreted as the Gâteaux differentiation of dynamical input-output systems and their adjoints respectively. We utilize this differentiation in order to clarify the eigenstructure of the Hankel operator, which is closely related to the Hankel norm of the original system. The results in the paper thus provide new insights to the realization and balancing theory for nonlinear systems.
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