629 citations · 1.7k across the 20 of their papers we have counts for
5 papers · 1 filter
Discovering conservation laws from data for control
Eurika Kaiser, J. Nathan Kutz, Steven L. Brunton
Conserved quantities, i.e. constants of motion, are critical for characterizing many dynamical systems in science and engineering. These quantities are related to underlying symmet…
Rethinking the Reynolds Transport Theorem, Liouville Equation, and Perron-Frobenius and Koopman Operators
Robert K. Niven, Laurent Cordier, Eurika Kaiser +2
The Reynolds transport theorem provides a generalized conservation law for the transport of a conserved quantity by fluid flow through a continuous connected control volume. It is…
Time-Delay Observables for Koopman: Theory and Applications
Mason Kamb, Eurika Kaiser, Steven L. Brunton +1
Nonlinear dynamical systems are ubiquitous in science and engineering, yet analysis and prediction of these systems remains a challenge. Koopman operator theory circumvents some of…
Cluster-based feedback control of turbulent post-stall separated flows
Aditya G. Nair, Chi-An Yeh, Eurika Kaiser +3
We propose a novel model-free self-learning cluster-based control strategy for general nonlinear feedback flow control technique, benchmarked for high-fidelity simulations of post-…
Discovering time-varying aeroelastic models of a long-span suspension bridge from field measurements by sparse identification of nonlinear dynamical systems
Shanwu Li, Eurika Kaiser, Shujin Laima +3
We develop data-driven dynamical models of the nonlinear aeroelastic effects on a long-span suspension bridge from sparse, noisy sensor measurements which monitor the bridge. Using…