Cover Image

Barycentric rational approximation for learning the index of a dynamical system from limited data

Fuente: arXiv

Saved in:

Bibliographic Details
Main Authors:	Pradovera, Davide, Gosea, Ion Victor, Heiland, Jan
Format:	Preprint
Published:	2024
Subjects:	Numerical Analysis Systems and Control 41A20, 93C05, 93B30, 93B11, 65D15
Online Access:	Acceder al recurso
Tags:	Add Tag No Tags, Be the first to tag this record!

Similar Items

The Loewner framework applied to Zolotarev sign and ratio problems
by: Antoulas, Athanasios C., et al.
Published: (2025)

On the Loewner framework, the Kolmogorov superposition theorem, and the curse of dimensionality
by: Antoulas, Athanasios C., et al.
Published: (2024)

Tensor-based multivariate function approximation: methods benchmarking and comparison
by: Poussot-Vassal, Charles, et al.
Published: (2025)

Structured barycentric forms for interpolation-based data-driven reduced modeling of second-order systems
by: Gosea, Ion Victor, et al.
Published: (2023)

Second-order AAA algorithms for structured data-driven modeling
by: Ackermann, Michael S., et al.
Published: (2025)

A refined nonlinear least-squares method for the rational approximation problem
by: Ackermann, Michael S., et al.
Published: (2026)

$\mathcal{H}_2$-optimal model reduction of linear quadratic-output systems by multivariate rational interpolation
by: Reiter, Sean, et al.
Published: (2025)

Generalizations of data-driven balancing: What to sample for different balancing-based reduced models
by: Reiter, Sean, et al.
Published: (2023)

Bilinear Quadratic Output Systems and Balanced Truncation
by: Faßbender, Heike, et al.
Published: (2025)

Balancing-based model reduction for switched descriptor systems
by: Manucci, Mattia, et al.
Published: (2024)

Relationship between dissipativity concepts for linear time-varying port-Hamiltonian systems
by: Cherifi, Karim, et al.
Published: (2024)

Data-driven model order reduction for T-Product-Based dynamical systems
by: Mei, Shenghan, et al.
Published: (2025)

Port-Hamiltonian Realizations of Nonminimal Linear Time Invariant Systems
by: Beattie, Christopher, et al.
Published: (2022)

Numerical methods for closed-loop systems with non-autonomous data
by: Baran, B., et al.
Published: (2024)

Para-Hermitian rational matrices
by: Dopico, Froilán, et al.
Published: (2024)

Convergence Analysis of a Fully Discrete Observer For Data Assimilation of the Barotropic Euler Equations
by: Chaumet, Aidan, et al.
Published: (2026)

Model Reduction for Switched Linear Systems via Generalized Lyapunov Equations
by: Manucci, Mattia, et al.
Published: (2026)

Time-limited Balanced Truncation for Data Assimilation Problems
by: König, Josie, et al.
Published: (2022)

Data-driven quadratic modeling in the Loewner framework from input-output time-domain measurements
by: Karachalios, D. S., et al.
Published: (2022)

System Identification from Partial Observations under Adversarial Attacks
by: Kim, Jihun, et al.
Published: (2025)

Port-Hamiltonian Realizations of Positive Real Descriptor Systems
by: Chu, Delin, et al.
Published: (2024)

Stabilization of linear Port-Hamiltonian Descriptor Systems via Output Feedback
by: Chu, Delin, et al.
Published: (2024)

Adaptive choice of near-optimal expansion points for interpolation-based structure-preserving model reduction
by: Aumann, Quirin, et al.
Published: (2023)

Theoretical and numerical indirect stabilization of coupled wave equations with a single time-delayed damping
by: Moumni, Alhabib, et al.
Published: (2024)

Kernel-based linear system identification using augmented Krylov subspaces
by: Matti, Fabio, et al.
Published: (2026)

A modified AAA algorithm for learning stable reduced-order models from data
by: Bradde, Tommaso, et al.
Published: (2023)

On the sample complexity of stabilizing linear dynamical systems from data
by: Werner, Steffen W. R., et al.
Published: (2022)

Tensor-based homogeneous polynomial dynamical system analysis from data
by: Mao, Xin, et al.
Published: (2025)

A probabilistic algorithm to test local algebraic observability in polynomial time
by: Sedoglavic, Alexandre
Published: (2000)

Reachable and observable sets for switched systems via generalized Lyapunov equations: application to switched descriptor systems
by: Manucci, Mattia, et al.
Published: (2024)

Model Reduction of Homogeneous Polynomial Dynamical Systems via Tensor Decomposition
by: Mao, Xin, et al.
Published: (2025)

On invariance of observability for BSDEs and its applications to stochastic control systems
by: Guo, Bao-Zhu, et al.
Published: (2024)

Stability Analysis of Inexact Solves in Model Reduction of Non-parametric Second-order Dynamical systems
by: Ahuja, Kapil, et al.
Published: (2018)

Controls insensitizing the norm of solution of a Schrödinger type system with mixed dispersion
by: Filho, Roberto de A. Capistrano, et al.
Published: (2020)

Comments and extensions on "State-equivalent form and minimum-order compensator design for rectangular descriptor systems"
by: Shi, Shuo, et al.
Published: (2025)

Coefficient-level output-feedback stabilization of linear port-Hamiltonian descriptor systems
by: Shi, Shuo, et al.
Published: (2025)

A tensor-based dynamic mode decomposition based on the $\star_{\boldsymbol{M}}$-product
by: Saibaba, Arvind K., et al.
Published: (2025)

Detectability via observability in a nonuniform framework: dual relationship with controllability and stabilizability
by: Huerta, Ignacio, et al.
Published: (2025)

Feedback rectifiable pairs and stabilization of switched linear systems
by: Honecker, Maria C., et al.
Published: (2023)

Snapshot-driven Rational Interpolation of Parametric Systems
by: Pelling, Art J. R., et al.
Published: (2024)