Model order reduction for linear and nonlinear systems: a system-theoretic perspective

U Baur, P Benner, L Feng - Archives of Computational Methods in …, 2014 - Springer
In the past decades, Model Order Reduction (MOR) has demonstrated its robustness and
wide applicability for simulating large-scale mathematical models in engineering and the …

Reduced Order Modeling for Prediction and Control of Large-Scale Systems.

I Kalashnikova, S Arunajatesan, MF Barone… - 2014 - osti.gov
This report describes work performed from June 2012 through May 2014 as a part of a
Sandia Early Career Laboratory Directed Research and Development (LDRD) project led by …

Model reduction based on spectral projection methods

P Benner, ES Quintana-Ortí - … of Large-Scale Systems: Proceedings of a …, 2005 - Springer
We discuss the efficient implementation of model reduction methods such as modal
truncation, balanced truncation, and other balancing-related truncation techniques …

Construction of energy-stable projection-based reduced order models

I Kalashnikova, MF Barone, S Arunajatesan… - Applied Mathematics …, 2014 - Elsevier
An approach for building energy-stable Galerkin reduced order models (ROMs) for linear
hyperbolic or incompletely parabolic systems of partial differential equations (PDEs) using …

Balanced truncation of linear time-invariant systems over finite-frequency ranges

P Benner, X Du, G Yang, D Ye - Advances in Computational Mathematics, 2020 - Springer
This paper discusses model order reduction of linear time-invariant (LTI) systems over
limited frequency intervals within the framework of balanced truncation. Two new frequency …

Discrete Time Limited Gramians Model Order Curtailment for Unstable Second Orderly‐Structured Systems

S Ali, S Haider, RM Mokhtar, H Hadi… - IEEJ Transactions on …, 2024 - Wiley Online Library
In this manuscript, sundry model order Curtailment (MOC) techniques for discrete time
frequency limited applications of unstable second orderly‐structured systems (SOSSs) are …

Infinite and finite time-frequency interval based variants of second-order balanced truncation for stable and unstable systems

S Ali, R Mohd-Mokhtar, SK Haider - IEEE Access, 2020 - ieeexplore.ieee.org
The first half of this manuscript deals with a review of different variants for second-order
balanced truncation techniques for stable second-order form systems. Later, multiple …

Limited Frequency Interval Gramians Based Model Order Reduction of Unstable Second Order-Form Systems

S Ali, S Haider, AB Huda, H Hadi, K Ammar - Journal of Electrical …, 2023 - Springer
In this manuscript, various balanced-truncation methods for limited frequency interval model
order reduction applications of unstable second order systems (SOSs) are considered …

Construction of energy-stable Galerkin reduced order models.

I Kalashnikova, MF Barone, S Arunajatesan… - 2013 - osti.gov
This report aims to unify several approaches for building stable projection-based reduced
order models (ROMs). Attention is focused on linear time-invariant (LTI) systems. The model …

Equated Truncation of Unstable Second-Orderly Structured Systems

S Ali, S Haider, RM Mokhtar, K Saleem - Technical Journal, 2022 - tj.uettaxila.edu.pk
In study of physical system where suitable surrogate mathematical model need to be
derived, it is essential to devise contrivances so that the unstable system behavior could be …