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math.DS2020★ 5 cited
Learning Koopman Representations for Hybrid Systems
Craig Bakker, Arnab Bhattacharya, Samrat Chatterjee +2
The Koopman operator lifts nonlinear dynamical systems into a functional space of observables, where the dynamics are linear. In this paper, we provide three different Koopman repr…
math.DS2020★ 1 cited
Learning Bounded Koopman Observables: Results on Stability, Continuity, and Controllability
Craig Bakker, Thiagarajan Ramachandran, W. Steven Rosenthal
The Koopman operator is an useful analytical tool for studying dynamical systems -- both controlled and uncontrolled. For example, Koopman eigenfunctions can provide non-local stab…