Serkan Gugercin

Adv. Comput. Math., April, 2024

Structured interpolation for multivariate transfer functions of quadratic-bilinear systems.

[BibT_eX]

[DOI]

Adv. Comput. Math., April, 2024

On the balanced truncation error bound and sign parameters from arrowhead realizations.

[BibT_eX]

[DOI]

Adv. Comput. Math., February, 2024

A non-intrusive data-based reformulation of a hybrid projection-based model reduction method.

[BibT_eX]

[DOI]

CoRR, 2024

Time-Domain Iterative Rational Krylov Method.

[BibT_eX]

[DOI]

Michael S. Ackermann

CoRR, 2024

Balanced truncation with conformal maps.

[BibT_eX]

[DOI]

Alessandro Borghi

Tobias Breiten

CoRR, 2024

𝓗2 optimal model reduction of linear systems with multiple quadratic outputs.

[BibT_eX]

[DOI]

CoRR, 2024

Interpolatory Necessary Optimality Conditions for Reduced-order Modeling of Parametric Linear Time-invariant Systems.

[BibT_eX]

[DOI]

CoRR, 2024

2023

A unifying framework for tangential interpolation of structured bilinear control systems.

[BibT_eX]

[DOI]

Numerische Mathematik, December, 2023

A Unifying Framework for Interpolatory ${\boldsymbol{\mathcal{L}_2}}$-Optimal Reduced-Order Modeling.

[BibT_eX]

[DOI]

Andrea Carracedo Rodriguez

SIAM J. Numer. Anal., October, 2023

The p-AAA Algorithm for Data-Driven Modeling of Parametric Dynamical Systems.

[BibT_eX]

[DOI]

Linus Balicki

SIAM J. Sci. Comput., June, 2023

Contour Integral Methods for Nonlinear Eigenvalue Problems: A Systems Theoretic Approach.

[BibT_eX]

[DOI]

Michael C. Brennan

Mark Embree

SIAM Rev., May, 2023

$\boldsymbol{\mathcal{L}_2}$-Optimal Reduced-Order Modeling Using Parameter-Separable Forms.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., April, 2023

Generalizations of data-driven balancing: what to sample for different balancing-based reduced models.

[BibT_eX]

[DOI]

Sean Reiter

CoRR, 2023

Frequency-Based Reduced Models from Purely Time-Domain Data via Data Informativity.

[BibT_eX]

[DOI]

Michael S. Ackermann

CoRR, 2023

IRKA is a Riemannian Gradient Descent Method.

[BibT_eX]

[DOI]

CoRR, 2023

Interpolatory H2-optimality Conditions for Structured Linear Time-invariant Systems.

[BibT_eX]

[DOI]

CoRR, 2023

Nonlinear Balanced Truncation: Part 2 - Model Reduction on Manifolds.

[BibT_eX]

[DOI]

Boris Kramer

CoRR, 2023

2022

Data-Driven Balancing of Linear Dynamical Systems.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2022

Model Reduction of Linear Dynamical Systems via Balancing for Bayesian Inference.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

Data-Driven Modeling of Linear Dynamical Systems with Quadratic Output in the AAA Framework.

[BibT_eX]

[DOI]

J. Sci. Comput., 2022

A Unifying Framework for Interpolatory $\mathcal{L}_2$-optimal Reduced-order Modeling.

[BibT_eX]

[DOI]

CoRR, 2022

L2-optimal Reduced-order Modeling Using Parameter-separable Forms.

[BibT_eX]

[DOI]

CoRR, 2022

Structure-Preserving Model Reduction for Nonlinear Power Grid Network.

[BibT_eX]

[DOI]

CoRR, 2022

Towards context-aware learning for control: Balancing stability and model-learning error.

[BibT_eX]

[DOI]

Nitin Shyamkumar

Benjamin Peherstorfer

Proceedings of the American Control Conference, 2022

2021

Preconditioning Parametrized Linear Systems.

[BibT_eX]

[DOI]

Arielle Carr

Eric de Sturler

SIAM J. Sci. Comput., 2021

Structured vector fitting framework for mechanical systems.

[BibT_eX]

[DOI]

CoRR, 2021

Data-driven modeling of power networks.

[BibT_eX]

[DOI]

CoRR, 2021

Estimating Experimental Dispersion Curves from Steady-State Frequency Response Measurements.

[BibT_eX]

[DOI]

V. V. N. Sriram Malladi

CoRR, 2021

Structure-preserving interpolation for model reduction of parametric bilinear systems.

[BibT_eX]

[DOI]

Autom., 2021

Structure-preserving interpolation of bilinear control systems.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2021

Data-driven modeling of power networks1.

[BibT_eX]

[DOI]

Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

Parametric model reduction via rational interpolation along parameters.

[BibT_eX]

[DOI]

Benjamin Unger

Proceedings of the 2021 60th IEEE Conference on Decision and Control (CDC), 2021

Structure-preserving Model Reduction of Parametric Power Networks.

[BibT_eX]

[DOI]

Proceedings of the 2021 American Control Conference, 2021

2020

Stability of Discrete Empirical Interpolation and Gappy Proper Orthogonal Decomposition with Randomized and Deterministic Sampling Points.

[BibT_eX]

[DOI]

Benjamin Peherstorfer

SIAM J. Sci. Comput., 2020

The balanced truncation bound is tight for SISO systems when the truncated system is state-space symmetric.

[BibT_eX]

[DOI]

Sean Reiter

Mark Embree

CoRR, 2020

Randomization for the Efficient Computation of Parametric Reduced Order Models for Inversion.

[BibT_eX]

[DOI]

Selin S. Aslan

Eric de Sturler

CoRR, 2020

The AAA framework for modeling linear dynamical systems with quadratic output.

[BibT_eX]

[DOI]

Andrea Carracedo Rodriguez

CoRR, 2020

The p-AAA algorithm for data driven modeling of parametric dynamical systems.

[BibT_eX]

[DOI]

CoRR, 2020

Sampling-free model reduction of systems with low-rank parameterization.

[BibT_eX]

[DOI]

Vijaya V. N. Sriram Malladi

Zoran Tomljanovic

Adv. Comput. Math., 2020

2019

Estimating Dispersion Curves from Frequency Response Functions via Vector-Fitting.

[BibT_eX]

[DOI]

Mohammad I. Albakri

Pablo A. Tarazaga

CoRR, 2019

Sampling-free parametric model reduction for structured systems.

[BibT_eX]

[DOI]

Zoran Tomljanovic

CoRR, 2019

Revisiting IRKA: Connections with pole placement and backward stability.

[BibT_eX]

[DOI]

CoRR, 2019

Structure-preserving Interpolatory Model Reduction for Port-Hamiltonian Differential-Algebraic Systems.

[BibT_eX]

[DOI]

Volker Mehrmann

CoRR, 2019

H2-gap model reduction for stabilizable and detectable systems.

[BibT_eX]

[DOI]

Tobias Breiten

CoRR, 2019

H2(tf) optimality conditions for a finite-time horizon.

[BibT_eX]

[DOI]

Klajdi Sinani

Autom., 2019

Kolmogorov n-widths for linear dynamical systems.

[BibT_eX]

[DOI]

Benjamin Unger

Adv. Comput. Math., 2019

2018

H2-Quasi-Optimal Model Order Reduction for Quadratic-Bilinear Control Systems.

[BibT_eX]

[DOI]

Pawan Goyal

SIAM J. Matrix Anal. Appl., 2018

H2(tf) Optimality Conditions for a Finite-time Horizon.

[BibT_eX]

[DOI]

Klajdi Sinani

CoRR, 2018

Damping optimization of parameter dependent mechanical systems by rational interpolation.

[BibT_eX]

[DOI]

Zoran Tomljanovic

Andrea Carracedo Rodriguez

Adv. Comput. Math., 2018

Interpolatory model reduction of parameterized bilinear dynamical systems.

[BibT_eX]

[DOI]

Adv. Comput. Math., 2018

2017

Data-Driven Reduced Model Construction with Time-Domain Loewner Models.

[BibT_eX]

[DOI]

Benjamin Peherstorfer

Karen Willcox

SIAM J. Sci. Comput., 2017

Computing Reduced Order Models via Inner-Outer Krylov Recycling in Diffuse Optical Tomography.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2017

Model reduction for systems with inhomogeneous initial conditions.

[BibT_eX]

[DOI]

Volker Mehrmann

Syst. Control. Lett., 2017

Linear time-periodic dynamical systems: An H2 analysis and a model reduction framework.

[BibT_eX]

[DOI]

Caleb C. Magruder

CoRR, 2017

2016

A New Selection Operator for the Discrete Empirical Interpolation Method - Improved A Priori Error Bound and Extensions.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2016

Structure-Preserving Model Reduction for Nonlinear Port-Hamiltonian Systems.

[BibT_eX]

[DOI]

Saifon Chaturantabut

SIAM J. Sci. Comput., 2016

Data-driven Structured Realization.

[BibT_eX]

[DOI]

Philipp Schulze

Benjamin Unger

CoRR, 2016

Interpolatory methods for H∞ model reduction of multi-input/multi-output systems.

[BibT_eX]

[DOI]

Alessandro Castagnotto

CoRR, 2016

Model Reduction for Large-scale Dynamical Systems with Inhomogeneous Initial Conditions.

[BibT_eX]

[DOI]

Volker Mehrmann

CoRR, 2016

Feedback stabilization of fluids using reduced-order models for control and compensator design.

[BibT_eX]

[DOI]

Lizette Zietsman

Proceedings of the 55th IEEE Conference on Decision and Control, 2016

2015

Nonlinear Parametric Inversion Using Interpolatory Model Reduction.

[BibT_eX]

[DOI]

Meghan O'Connell

SIAM J. Sci. Comput., 2015

Vector Fitting for Matrix-valued Rational Approximation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

Quadrature-Based Vector Fitting for Discretized H2 Approximation.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2015

A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems.

[BibT_eX]

[DOI]

Karen Willcox

SIAM Rev., 2015

Multipoint Volterra Series Interpolation and H2 Optimal Model Reduction of Bilinear Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2015

Near-optimal frequency-weighted interpolatory model reduction.

[BibT_eX]

[DOI]

Tobias Breiten

Syst. Control. Lett., 2015

2014

Quadrature-Based Vector Fitting: Implications For H2 System Approximation.

[BibT_eX]

[DOI]

CoRR, 2014

Model Reduction for DAEs with an Application to Flow Control.

[BibT_eX]

[DOI]

CoRR, 2014

Model Reduction by Rational Interpolation.

[BibT_eX]

[DOI]

CoRR, 2014

2013

Model Reduction of Descriptor Systems by Interpolatory Projection Methods.

[BibT_eX]

[DOI]

Tatjana Stykel

Sarah Wyatt

SIAM J. Sci. Comput., 2013

Interpolatory H∞H∞ model reduction.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2013

Multipoint Volterra Series Interpolation and H2 Optimal Model Reduction of Bilinear Systems.

[BibT_eX]

[DOI]

CoRR, 2013

Interpolatory weighted-H2H2 model reduction.

[BibT_eX]

[DOI]

Branimir Anic

Autom., 2013

2012

Recycling BiCG with an Application to Model Reduction.

[BibT_eX]

[DOI]

SIAM J. Sci. Comput., 2012

Convergence of the Iterative Rational Krylov Algorithm.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2012

On the ADI method for the Sylvester Equation and the optimal-$\mathcal{H}_2$ points

[BibT_eX]

[DOI]

CoRR, 2012

Interpolatory Weighted-H2 Model Reduction

[BibT_eX]

[DOI]

Branimir Anic

CoRR, 2012

Structure-preserving tangential interpolation for model reduction of port-Hamiltonian systems.

[BibT_eX]

[DOI]

Rostyslav V. Polyuga

Arjan van der Schaft

Autom., 2012

Realization-independent ℌ2-approximation.

[BibT_eX]

[DOI]

Proceedings of the 51th IEEE Conference on Decision and Control, 2012

Model reduction for indoor-air behavior in control design for energy-efficient buildings.

[BibT_eX]

[DOI]

Eugene M. Cliff

Proceedings of the American Control Conference, 2012

2011

A note on shifted Hessenberg systems and frequency response computation.

[BibT_eX]

[DOI]

ACM Trans. Math. Softw., 2011

Interpolatory Projection Methods for Parameterized Model Reduction.

[BibT_eX]

[DOI]

Ulrike Baur

SIAM J. Sci. Comput., 2011

Structure-preserving model reduction for nonlinear port-Hamiltonian systems.

[BibT_eX]

[DOI]

Proceedings of the 50th IEEE Conference on Decision and Control and European Control Conference, 2011

2010

Rational Krylov methods for optimal ℒ2 model reduction.

[BibT_eX]

[DOI]

Caleb Magruder

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

An interpolation-based approach to ℋ∞ model reduction of dynamical systems.

[BibT_eX]

[DOI]

Proceedings of the 49th IEEE Conference on Decision and Control, 2010

2009

Interpolatory projection methods for structure-preserving model reduction.

[BibT_eX]

[DOI]

Syst. Control. Lett., 2009

Interpolation-based H2 model reduction for port-Hamiltonian systems.

[BibT_eX]

[DOI]

Rostyslav V. Polyuga

Arjan van der Schaft

Proceedings of the 48th IEEE Conference on Decision and Control, 2009

A trust region method for optimal H2 model reduction.

[BibT_eX]

[DOI]

Proceedings of the 48th IEEE Conference on Decision and Control, 2009

2008

H2 Model Reduction for Large-Scale Linear Dynamical Systems.

[BibT_eX]

[DOI]

SIAM J. Matrix Anal. Appl., 2008

Krylov projection framework for Fourier model reduction.

[BibT_eX]

[DOI]

Karen Willcox

Autom., 2008

Interpolation theory for structure-preserving model reduction.

[BibT_eX]

[DOI]

Proceedings of the 47th IEEE Conference on Decision and Control, 2008

2007

Krylov-based minimization for optimal H2 model reduction.

[BibT_eX]

[DOI]

Proceedings of the 46th IEEE Conference on Decision and Control, 2007

2006

Inexact Solves in Krylov-based Model Reduction.

[BibT_eX]

[DOI]

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

A Domain Decomposition Approach to POD.

[BibT_eX]

[DOI]

Traian Iliescu

Proceedings of the 45th IEEE Conference on Decision and Control, 2006

2005

An iterative SVD-Krylov based method for model reduction of large-scale dynamical systems.

[BibT_eX]

[DOI]

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

Krylov-based model reduction of second-order systems with proportional damping.

[BibT_eX]

[DOI]

Proceedings of the 44th IEEE IEEE Conference on Decision and Control and 8th European Control Conference Control, 2005

2004

Krylov-based controller reduction for large-scale systems.

[BibT_eX]

[DOI]

Eduardo Gildin

Proceedings of the 43rd IEEE Conference on Decision and Control, 2004

2003

An approach to identification for robust control.

[BibT_eX]

[DOI]

H. P. Zhang

IEEE Trans. Autom. Control., 2003

A Modified Low-Rank Smith Method for Large-Scale Lyapunov Equations.

[BibT_eX]

[DOI]

Danny C. Sorensen

Numer. Algorithms, 2003

A survey of balancing methods for model reduction.

[BibT_eX]

[DOI]

Proceedings of the 7th European Control Conference, 2003

A time-limited balanced reduction method.

[BibT_eX]

[DOI]

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

An H2 error expression for the Lanczos procedure.

[BibT_eX]

[DOI]

Proceedings of the 42nd IEEE Conference on Decision and Control, 2003

2002

A new approach to model reduction which preserves stability and passivity: an overview.

[BibT_eX]

[DOI]

Proceedings of the 41st IEEE Conference on Decision and Control, 2002

2001

Approximation of the International Space Station 1R and 12A models.

[BibT_eX]

[DOI]

Nazareth Bedrossian

Proceedings of the 40th IEEE Conference on Decision and Control, 2001

2000

A comparative study of 7 algorithms for model reduction.

[BibT_eX]

[DOI]