170 citations · 171 across the 2 of their papers we have counts for
5 papers
Data-Driven Spectral Submanifold Reduction for Nonlinear Optimal Control of High-Dimensional Robots
John Irvin Alora, Mattia Cenedese, Edward Schmerling +2
Modeling and control of high-dimensional, nonlinear robotic systems remains a challenging task. While various model- and learning-based approaches have been proposed to address the…
Fast data-driven model reduction for nonlinear dynamical systems
Joar Axås, Mattia Cenedese, George Haller
We present a fast method for nonlinear data-driven model reduction of dynamical systems onto their slowest nonresonant spectral submanifolds (SSMs). We use observed data to locate…
Data-Driven Modeling and Prediction of Non-Linearizable Dynamics via Spectral Submanifolds
Mattia Cenedese, Joar Axås, Bastian Bäuerlein +2
We develop a methodology to construct low-dimensional predictive models from data sets representing essentially nonlinear (or non-linearizable) dynamical systems with a hyperbolic…
Stability of Forced-Damped Response in Mechanical Systems from a Melnikov Analysis
Mattia Cenedese, George Haller
Frequency responses of multi-degree-of-freedom mechanical systems with weak forcing and damping can be studied as perturbations from their conservative limit. Specifically, recent…
How do Conservative Backbone Curves Perturb into Forced Responses? A Melnikov Function Analysis
Mattia Cenedese, George Haller
Weakly damped mechanical systems under small periodic forcing tend to exhibit periodic response in a close vicinity of certain periodic orbits of their conservative limit. Specific…