Reduced-order modelling of LTI systems by using Routh approximation and factor division methods

AK Prajapati, R Prasad - Circuits, Systems, and Signal Processing, 2019 - Springer
In this paper, a new model reduction technique for the large-scale continuous time systems
is proposed. The proposed technique is a mixed method of Routh approximation and factor …

Order reduction of linear dynamic systems by improved Routh approximation method

AK Prajapati, R Prasad - IETE Journal of Research, 2019 - Taylor & Francis
In this paper, a new simplified Routh approximation technique is proposed for the model
order reduction (MOR) of large scale linear time-invariant systems. In reduced order …

Model reduction of discrete time-delay systems based on Charlier polynomials and high-order Krylov subspaces

KL Xu, YL Jiang, Z Li, L Li - Linear Algebra and Its Applications, 2023 - Elsevier
In this paper, we present an efficient model reduction method for discrete time-delay systems
based on the expansions of systems under Charlier polynomials. Making full use of the …

Reduced order modelling of linear time invariant systems using the factor division method to allow retention of dominant modes

AK Prajapati, R Prasad - IETE Technical Review, 2019 - Taylor & Francis
This paper proposes a new model order reduction method for the large-scale dynamic
systems using the factor division approach to allow the preservation of dominant poles. For a …

High-order Krylov subspace model order reduction methods for bilinear time-delay systems

GY Cheng, Z Miao, YL Jiang - Systems & Control Letters, 2024 - Elsevier
Abstract Model order reduction methods via high-order Krylov subspace for bilinear time-
delay systems are developed in this paper. The proposed methods are based on the …

Laguerre functions approximation for model reduction of second order time-delay systems

X Wang, Y Jiang, X Kong - Journal of the Franklin Institute, 2016 - Elsevier
This paper presents a Laguerre-based model reduction method for time-delay systems,
which naturally retains the second-order-structure of original systems. We expand time …

Time domain and frequency domain model order reduction for discrete time-delay systems

ZH Wang, YL Jiang, KL Xu - International Journal of Systems …, 2020 - Taylor & Francis
This paper explores model order reduction (MOR) methods for discrete time-delay systems
in the time domain and the frequency domain. First, the discrete time-delay system is …

[HTML][HTML] A Krylov subspace method based on multi-moment matching for model order reduction of large-scale second order bilinear systems

M Vakilzadeh, M Eghtesad, R Vatankhah… - Applied Mathematical …, 2018 - Elsevier
In this paper, a Krylov subspace method based on multi-moment matching is utilized for
model order reduction of large-scale second order bilinear systems. Accordingly, model …

[HTML][HTML] Structure-Preserving Low-Rank Model Reduction for Second-Order Time-Delay Systems

M Tang, ZH **ao, U Zulfiqar - Mathematics, 2025 - mdpi.com
This paper introduces two model order-reduction techniques for second-order time-delay
systems. The first method involves converting the second-order system into a first-order form …

Special structural Gramian approximation methods for model order reduction of time‐delay systems

G Cheng, X Wang, Z Miao - Asian Journal of Control, 2025 - Wiley Online Library
Abstract Model order reduction methods via low‐rank approximation of Gramians for time‐
delay systems are developed in this paper. The main contribution is to achieve the …