1.9k citations · 5.7k across the 37 of their papers we have counts for
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Optimal Control with Learning on the Fly: System with Unknown Drift
Daniel Gurevich, Debdipta Goswami, Charles L. Fefferman +1
This paper derives an optimal control strategy for a simple stochastic dynamical system with constant drift and an additive control input. Motivated by the example of a physical sy…
Controlling Unknown Linear Dynamics with Bounded Multiplicative Regret
Jacob Carruth, Maximilian F. Eggl, Charles Fefferman +2
We consider a simple control problem in which the underlying dynamics depend on a parameter that is unknown and must be learned. We exhibit a control strategy which is optimal to w…
Optimizing Oblique Projections for Nonlinear Systems using Trajectories
Samuel E. Otto, Alberto Padovan, Clarence W. Rowley
Reduced-order modeling techniques, including balanced truncation and -optimal model reduction, exploit the structure of linear dynamical systems to produce models th…
Inadequacy of Linear Methods for Minimal Sensor Placement and Feature Selection in Nonlinear Systems; a New Approach Using Secants
Samuel E. Otto, Clarence W. Rowley
Sensor placement and feature selection are critical steps in engineering, modeling, and data science that share a common mathematical theme: the selected measurements should enable…
Data-Driven Model Predictive Control using Interpolated Koopman Generators
Sebastian Peitz, Samuel E. Otto, Clarence W. Rowley
In recent years, the success of the Koopman operator in dynamical systems analysis has also fueled the development of Koopman operator-based control frameworks. In order to preserv…
Optimal control with learning on the fly: a toy problem
Charles L. Fefferman, Bernat Guillen Pegueroles, Clarence W. Rowley +1
We exhibit optimal control strategies for a simple toy problem in which the underlying dynamics depend on a parameter that is initially unknown and must be learned. We consider a c…