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09/11/2023
Robust Nonlinear Reduced-Order Model Predictive Control
Real-world systems are often characterized by high-dimensional nonlinear...
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09/14/2022
Using Spectral Submanifolds for Nonlinear Periodic Control
Very high dimensional nonlinear systems arise in many engineering proble...
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09/13/2022
Data-Driven Spectral Submanifold Reduction for Nonlinear Optimal Control of High-Dimensional Robots
Modeling and control of high-dimensional, nonlinear robotic systems rema...
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01/13/2022
Data-Driven Modeling and Prediction of Non-Linearizable Dynamics via Spectral Submanifolds
We develop a methodology to construct low-dimensional predictive models ...
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10/05/2021
Data-driven Nonlinear Model Reduction to Spectral Submanifolds in Mechanical Systems
While data-driven model reduction techniques are well-established for li...
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03/18/2021
How to Compute Invariant Manifolds and their Reduced Dynamics in High-Dimensional Finite-Element Models?
Invariant manifolds are important constructs for the quantitative and qu...
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11/30/2020
Integral Equations Model Reduction For Fast Computation of Nonlinear Periodic Response
We propose a reformulation for the integral equations approach of Jain, ...
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09/09/2020
Using Spectral Submanifolds for Optimal Mode Selection in Model Reduction
Model reduction of large nonlinear systems often involves the projection...
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10/23/2018
Fast Computation of Steady-State Response for Nonlinear Vibrations of High-Degree-of-Freedom Systems
We discuss an integral equation approach that enables fast computation o...
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03/08/2017
Exact Nonlinear Model Reduction for a von Karman beam: Slow-Fast Decomposition and Spectral Submanifolds
We apply two recently formulated mathematical techniques, Slow-Fast Deco...
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04/11/2014