Koopman Operator Theory and Linear Representations of Nonlinear Dynamics
Professor of Mechanical Engineering, University of Washington
31:31·2015·graduate level·Research Seminar
Shows how lifting finite-dimensional nonlinear ODEs into infinite-dimensional observable spaces enables spectral decomposition and linear optimal control.
MathematicsEngineeringControl & Dynamical SystemsCalculus & AnalysisNumber Theory & Abstract AlgebraNonlinear System
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
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