Data-Driven Nonlinear Model Reduction to Spectral Submanifolds via Oblique Projection
Fuente:
arXiv
Saved in:
| Main Authors: | Bettini, Leonardo, Kaszás, Bálint, Zybach, Bernhard, Dual, Jürg, Haller, George |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
Similar Items
Nonlinear Spectral Modeling and Control of Soft-Robotic Muscles from Data
by: Bettini, Leonardo, et al.
Published: (2026)
by: Bettini, Leonardo, et al.
Published: (2026)
Reduction by Symmetry and Optimal Control with Broken Symmetries on Riemannian Manifolds
by: Goodman, Jacob R., et al.
Published: (2024)
by: Goodman, Jacob R., et al.
Published: (2024)
Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison
by: Schulze, Jan C., et al.
Published: (2025)
by: Schulze, Jan C., et al.
Published: (2025)
Duality of Geometric Tests for Forward-Flatness
by: Schrotshamer, Johannes, et al.
Published: (2024)
by: Schrotshamer, Johannes, et al.
Published: (2024)
Nonsmooth High-Order Averaging Theory with Application to Extremum Seeking Optimization and Control
by: Abdelfattah, Hesham, et al.
Published: (2026)
by: Abdelfattah, Hesham, et al.
Published: (2026)
A Dual Geometric Test for Forward-Flatness
by: Kolar, Bernd, et al.
Published: (2024)
by: Kolar, Bernd, et al.
Published: (2024)
Discrete-time Flatness and Linearization along Trajectories
by: Kolar, Bernd, et al.
Published: (2022)
by: Kolar, Bernd, et al.
Published: (2022)
Tracking Control for $(x,u)$-Flat Systems by Quasi-Static Feedback of Classical States
by: Gstöttner, Conrad, et al.
Published: (2021)
by: Gstöttner, Conrad, et al.
Published: (2021)
Smooth, globally Polyak-Łojasiewicz functions are nonlinear least-squares
by: Boumal, Nicolas, et al.
Published: (2026)
by: Boumal, Nicolas, et al.
Published: (2026)
On Driftless Systems with m controls and 2m or 2m-1 states that are Flat by Pure Prolongation
by: Lévine, Jean, et al.
Published: (2025)
by: Lévine, Jean, et al.
Published: (2025)
Policy Optimization in Control: Geometry and Algorithmic Implications
by: Talebi, Shahriar, et al.
Published: (2024)
by: Talebi, Shahriar, et al.
Published: (2024)
Geometry-Aware Langevin Sampling for Matrix-Valued Graph Learning
by: Dey, Papri
Published: (2026)
by: Dey, Papri
Published: (2026)
Equilibria analysis of a networked bivirus epidemic model using Poincaré--Hopf and Manifold Theory
by: Anderson, Brian D. O., et al.
Published: (2022)
by: Anderson, Brian D. O., et al.
Published: (2022)
Gradient modelling of memristive systems
by: Forni, Fulvio, et al.
Published: (2025)
by: Forni, Fulvio, et al.
Published: (2025)
Data-Driven Linearization of Dynamical Systems
by: Haller, George, et al.
Published: (2024)
by: Haller, George, et al.
Published: (2024)
Geometric Stabilization of Virtual Nonlinear Nonholonomic Constraints
by: Stratoglou, Efstratios, et al.
Published: (2025)
by: Stratoglou, Efstratios, et al.
Published: (2025)
pycvxset: A Python package for convex set manipulation
by: Vinod, Abraham P.
Published: (2024)
by: Vinod, Abraham P.
Published: (2024)
On Path-based Marginal Cost of Heterogeneous Traffic Flow for General Networks
by: Liu, Jiachao, et al.
Published: (2026)
by: Liu, Jiachao, et al.
Published: (2026)
Model of an Open, Decentralized Computational Network with Incentive-Based Load Balancing
by: Rodikov, German
Published: (2025)
by: Rodikov, German
Published: (2025)
Parametric Spectral Submanifolds across Hopf Bifurcations with Applications to Fluid Dynamics
by: King, James, et al.
Published: (2026)
by: King, James, et al.
Published: (2026)
Data-driven Nonlinear Model Reduction using Koopman Theory: Integrated Control Form and NMPC Case Study
by: Schulze, Jan C., et al.
Published: (2024)
by: Schulze, Jan C., et al.
Published: (2024)
Equivalence between Geometric Frequency and Lagrange Derivative
by: Milano, Federico
Published: (2024)
by: Milano, Federico
Published: (2024)
On Koopman Resolvents and Frequency Response of Nonlinear Systems
by: Susuki, Yoshihiko, et al.
Published: (2026)
by: Susuki, Yoshihiko, et al.
Published: (2026)
Complex Frequency as Generalized Eigenvalue
by: Sofos, Nikolas, et al.
Published: (2026)
by: Sofos, Nikolas, et al.
Published: (2026)
Symbolic Reduction for Formal Synthesis of Global Lyapunov Functions
by: Liu, Jun, et al.
Published: (2025)
by: Liu, Jun, et al.
Published: (2025)
Exploiting Over-Approximation Errors as Preview Information for Nonlinear Control
by: Aspeel, Antoine, et al.
Published: (2025)
by: Aspeel, Antoine, et al.
Published: (2025)
Provably Safe Control for Constrained Nonlinear Systems with Bounded Input
by: Kumar, Saurabh, et al.
Published: (2025)
by: Kumar, Saurabh, et al.
Published: (2025)
Application of a Novel Model Reduction Technique to the Assessment of Boundedness/Stability of Some Delay Time-Varying Vector Nonlinear Systems
by: Pinsky, Mark A.
Published: (2024)
by: Pinsky, Mark A.
Published: (2024)
Estimating the Convex Hull of the Image of a Set with Smooth Boundary: Error Bounds and Applications
by: Lew, Thomas, et al.
Published: (2023)
by: Lew, Thomas, et al.
Published: (2023)
Characterization of Invariance, Periodic Solutions and Optimization of Dynamic Financial Networks
by: Stella, Leonardo, et al.
Published: (2025)
by: Stella, Leonardo, et al.
Published: (2025)
Eigensets of switching dynamical systems
by: Protasov, Vladimir
Published: (2026)
by: Protasov, Vladimir
Published: (2026)
Data-driven input-to-state stabilization
by: Chen, Hailong, et al.
Published: (2024)
by: Chen, Hailong, et al.
Published: (2024)
Data-driven Invariance for Reference Governors
by: Kashani, Ali, et al.
Published: (2023)
by: Kashani, Ali, et al.
Published: (2023)
Globalizing manifold-based reduced models for equations and data
by: Kaszás, Bálint, et al.
Published: (2025)
by: Kaszás, Bálint, et al.
Published: (2025)
Data-driven stabilization of switched and constrained linear systems
by: Bianchi, Mattia, et al.
Published: (2022)
by: Bianchi, Mattia, et al.
Published: (2022)
Three-dimensional Nonlinear Path-following Guidance with Bounded Input Constraints
by: Kumar, Saurabh, et al.
Published: (2024)
by: Kumar, Saurabh, et al.
Published: (2024)
Data-driven input-to-state stabilization with respect to measurement errors
by: Chen, Hailong, et al.
Published: (2023)
by: Chen, Hailong, et al.
Published: (2023)
On the Benefit of Nonlinear Control for Robust Logarithmic Growth: Coin Flipping Games as a Demonstration Case
by: Proskurnikov, Anton V., et al.
Published: (2023)
by: Proskurnikov, Anton V., et al.
Published: (2023)
Synthesizing Control Laws from Data using Sum-of-Squares Optimization
by: Bramburger, Jason J., et al.
Published: (2023)
by: Bramburger, Jason J., et al.
Published: (2023)
Guaranteed Reachability on Riemannian Manifolds for Unknown Nonlinear Systems
by: Shafa, Taha, et al.
Published: (2024)
by: Shafa, Taha, et al.
Published: (2024)
Similar Items
-
Nonlinear Spectral Modeling and Control of Soft-Robotic Muscles from Data
by: Bettini, Leonardo, et al.
Published: (2026) -
Reduction by Symmetry and Optimal Control with Broken Symmetries on Riemannian Manifolds
by: Goodman, Jacob R., et al.
Published: (2024) -
Nonlinear Model Order Reduction of Dynamical Systems in Process Engineering: Review and Comparison
by: Schulze, Jan C., et al.
Published: (2025) -
Duality of Geometric Tests for Forward-Flatness
by: Schrotshamer, Johannes, et al.
Published: (2024) -
Nonsmooth High-Order Averaging Theory with Application to Extremum Seeking Optimization and Control
by: Abdelfattah, Hesham, et al.
Published: (2026)