12 citations · 19 across the 5 of their papers we have counts for
6 papers
Koopman-based Differentiable Predictive Control for the Dynamics-Aware Economic Dispatch Problem
Ethan King, Jan Drgona, Aaron Tuor +4
The dynamics-aware economic dispatch (DED) problem embeds low-level generator dynamics and operational constraints to enable near real-time scheduling of generation units in a powe…
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…
The Outer Product Structure of Neural Network Derivatives
Craig Bakker, Michael J. Henry, Nathan O. Hodas
In this paper, we show that feedforward and recurrent neural networks exhibit an outer product derivative structure but that convolutional neural networks do not. This structure ma…
Hypergames and Cyber-Physical Security for Control Systems
Craig Bakker, Arnab Bhattacharya, Samrat Chatterjee +1
The identification of the Stuxnet worm in 2010 provided a highly publicized example of a cyber attack used to damage an industrial control system physically. This raised public awa…