5 citations · 6 across the 3 of their papers we have counts for
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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…
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…
Koopman Representations of Dynamic Systems with Control
Craig Bakker, Steven Rosenthal, Kathleen E. Nowak
The design and analysis of optimal control policies for dynamical systems can be complicated by nonlinear dependence in the state variables. Koopman operators have been used to sim…