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math.DS2024
Learning Nonlinear Dynamics Using Kalman Smoothing
Jacob Stevens-Haas, Yash Bhangale, Aleksandr Aravkin +1
Identifying Ordinary Differential Equations (ODEs) from measurement data requires both fitting the dynamics and assimilating, either implicitly or explicitly, the measurement data.…
math.DS2020
Nonlinear control of networked dynamical systems
Megan Morrison, J. Nathan Kutz
We develop a principled mathematical framework for controlling nonlinear, networked dynamical systems. Our method integrates dimensionality reduction, bifurcation theory and emergi…