Koopman Invariant Subspaces and Finite Linear Representations of Nonlinear Dynamical Systems for Control.

In this wIn this work, we explore finite-dimensional linear representations of nonlinear dynamical systems by restricting the Koopman operator to an invariant subspace spanned by specially chosen observable functions. The Koopman operator is an infinite-dimensional linear operator that evolves funct...

Full description

Bibliographic Details
Main Authors: Steven L Brunton, Bingni W Brunton, Joshua L Proctor, J Nathan Kutz
Format: Article
Language:English
Published: Public Library of Science (PLoS) 2016-01-01
Series:PLoS ONE
Online Access:http://europepmc.org/articles/PMC4769143?pdf=render