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NASA NTRS · 19900002912

The realization of input-output maps using bialgebras

Abstract

The theory of bialgebras is used to prove a state space realization theorem for input/output maps of dynamical systems. This approach allows for the consideration of the classical results of Fliess and more recent results on realizations involving families of trees. Two examples of applications of the theorum are given.

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BibTeXRIS

Grossman, Robert, Larson, Richard G.. 1989-01-01. The realization of input-output maps using bialgebras. https://ntrs.nasa.gov/citations/19900002912

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