Koopman Analysis by Steve L. Brunton

source: Steve Brunton    2015年10月22日


1 31:31 Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control--
This video illustrates the use of the Koopman operator to simulate and control a nonlinear dynamical system using a linear dynamical system on an observable subspace.
From the Paper:
Koopman observable subspaces and finite linear representations of nonlinear dynamical systems for control
by Steven L. Brunton, Bingni W. Brunton, Joshua L. Proctor, and J. Nathan Kutz
For more details, see our papers:
https://scholar.google.com/citations?...
http://arxiv.org/abs/1510.03007
http://arxiv.org/abs/1509.03580
2 4:38 Koopman Observable Subspaces & Nonlinearization
3 10:18 Koopman Operator Optimal Control
4 30:35 Compressed Sensing and Dynamic Mode Decomposition
5 47:07 Hankel Alternative View of Koopman (HAVOK) Analysis [FULL]
6 22:41 Hankel Alternative View of Koopman (HAVOK) Analysis [SHORT]
7 9:39 Magnetic field reversal and Measles outbreaks: HAVOK models of chaos
8 5:27 Linear model for chaotic Lorenz system [HAVOK]