Koopman Analysis

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About Course

Koopman Analysis.

Koopman operator theory is an alternative formalism for the study of dynamical systems
that offers great utility in data-driven analysis and control of nonlinear and high-dimensional
systems.

This note gives a short and informal review of this theory, as well as a list of references that point to rigorous mathematical treatments and a variety of applications to physics and engineering problems.

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What Will You Learn?

  • Learn the basics of Koopman Analysis

Course Content

Koopman Analysis

  • Koopman Observable Subspaces & Finite Linear Representations of Nonlinear Dynamics for Control
    00:00
  • Koopman Spectral Analysis (Continuous Spectrum)
    00:00
  • Koopman Spectral Analysis (Overview)
    00:00
  • Koopman Spectral Analysis (Representations)
    00:00
  • Koopman Spectral Analysis (Control)
    00:00
  • Linear model for chaotic Lorenz system [HAVOK]
    00:00
  • Magnetic field reversal and Measles outbreaks: HAVOK models of chaos
    00:00
  • Hankel Alternative View of Koopman (HAVOK) Analysis [SHORT]
    00:00
  • Hankel Alternative View of Koopman (HAVOK) Analysis
    00:00
  • Compressed Sensing and Dynamic Mode Decomposition
    00:00
  • Koopman Operator Optimal Control
    00:00
  • Koopman Observable Subspaces & Nonlinearization
    00:00
  • Koopman Spectral Analysis (Multiscale systems)
    00:00

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