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math.OC2019★ 3 cited
Wasserstein Contraction of Stochastic Nonlinear Systems
Jake Bouvrie, Jean-Jacques Slotine
We suggest that the tools of contraction analysis for deterministic systems can be applied towards studying the convergence behavior of stochastic dynamical systems in the Wasserst…
math.OC2010
Balanced Reduction of Nonlinear Control Systems in Reproducing Kernel Hilbert Space
Jake Bouvrie, Boumediene Hamzi
We introduce a novel data-driven order reduction method for nonlinear control systems, drawing on recent progress in machine learning and statistical dimensionality reduction. The…