The overview of Koopman Theory still needs to be written
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Koopman Theory
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5 items
Koopman Spectral Analysis (Control)
15 min
Intermediate
Video
Theory
In this video, we explore extensions of Koopman theory for control systems. Much of the excitement and promise of Koopman operator theory is centered around the ability to represent...
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Koopman Spectral Analysis (Continuous Spectrum)
12 min
Intermediate
Video
Theory
In this video, we discuss how to use Koopman theory for dynamical systems with a continuous eigenvalue spectrum. These systems are quite common, such as a pendulum, where the period...
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Koopman Spectral Analysis (Representations)
16 min
Intermediate
Video
Theory
In this video, we explore how to obtain finite-dimensional representations of the Koopman operator from data, using regression.
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Koopman Spectral Analysis (Overview)
27 min
Intermediate
Video
Theory
In this video, we introduce Koopman operator theory for dynamical systems. The Koopman operator was introduced in 1931, but has experienced renewed interest recently because of the...
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Koopman Spectral Analysis (Multiscale systems)
5 min
Intermediate
Video
Theory
In this video, we discuss recent applications of data-driven Koopman theory to multi-scale systems.
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