22 citations · 35 across the 13 of their papers we have counts for
3 papers · 1 filter
Finite Time Lyapunov Exponent Analysis of Model Predictive Control and Reinforcement Learning
Kartik Krishna, Steven L. Brunton, Zhuoyuan Song
Finite-time Lyapunov exponents (FTLEs) provide a powerful approach to compute time-varying analogs of invariant manifolds in unsteady fluid flow fields. These manifolds are useful…
Koopman Operator Theory for Nonlinear Dynamic Modeling using Dynamic Mode Decomposition
Gregory Snyder, Zhuoyuan Song
The Koopman operator is a linear operator that describes the evolution of scalar observables (i.e., measurement functions of the states) in an infinitedimensional Hilbert space. Th…
Finite-Horizon, Energy-Optimal Trajectories in Unsteady Flows
Kartik Krishna, Zhuoyuan Song, Steven L. Brunton
Intelligent mobile sensors, such as uninhabited aerial or underwater vehicles, are becoming prevalent in environmental sensing and monitoring applications. These active sensing pla…