Koopman Observable Subspaces and Finite Linear Representations of Nonlinear Dynamics for Control
Steve Brunton via YouTube
Overview
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This course introduces the Koopman operator and observable subspaces for analyzing and approximating nonlinear dynamical systems with linear representations. It also demonstrates how this framework supports nonlinear optimal control, including an LQR-based controller and logistic map examples.
Syllabus
Introduction
Koopman Operator
Koopman Operator Overview
Example
Optimal Control
Logistic Map Example
Conclusion
Taught by
Steve Brunton