71 citations · 201 across the 24 of their papers we have counts for
4 papers · 1 filter
The Silver Ratio and its Relation to Controllability
Michael Muehlebach
This note investigates the controllability of two unstable second-order systems that are coupled through a common input. These dynamics occur for different types of inverted-pendul…
Physics-informed Autoencoders for Lyapunov-stable Fluid Flow Prediction
N. Benjamin Erichson, Michael Muehlebach, Michael W. Mahoney
In addition to providing high-profile successes in computer vision and natural language processing, neural networks also provide an emerging set of techniques for scientific proble…
A Dynamical Systems Perspective on Nesterov Acceleration
Michael Muehlebach, Michael I. Jordan
We present a dynamical system framework for understanding Nesterov's accelerated gradient method. In contrast to earlier work, our derivation does not rely on a vanishing step size…
A Method for Reducing the Complexity of Model Predictive Control in Robotics Applications
Michael Muehlebach, Raffaello D'Andrea
This article describes an approach for parametrizing input and state trajectories in model predictive control. The parametrization is designed to be invariant to time shifts, which…