A new passivity preserving model order reduction method: conic positive real balanced truncation method
Z Salehi, P Karimaghaee… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article is dedicated to model order reduction of linear time-invariant passive systems, ie,
positive real (PR) systems, based on the balanced truncation (BT) concept. The main feature …
positive real (PR) systems, based on the balanced truncation (BT) concept. The main feature …
Model order reduction of positive real systems based on mixed gramian balanced truncation with error bounds
Z Salehi, P Karimaghaee, MH Khooban - Circuits, Systems, and Signal …, 2021 - Springer
In this paper, we discuss the problem of model order reduction for positive real systems
based on balancing methods. The mixed gramian balanced truncation (MGBT) method …
based on balancing methods. The mixed gramian balanced truncation (MGBT) method …
Mixed positive-bounded balanced truncation
Z Salehi, P Karimaghaee… - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
Reducing the order of positive real and bounded real systems has received great interest
over the years. Several methods have been published regarding these issues which are …
over the years. Several methods have been published regarding these issues which are …
Time‐limited pseudo‐optimal‐model order reduction
A model order reduction algorithm is presented that generates a reduced‐order model of the
original high‐order model, which ensures high fidelity within the desired time interval. The …
original high‐order model, which ensures high fidelity within the desired time interval. The …
Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians
Y Li, Y Jiang, P Yang - Applied Mathematics and Computation, 2022 - Elsevier
Based on the approximate finite-time Gramians, this paper studies model order reduction
method of port-Hamiltonian systems with inhomogeneous initial conditions. The …
method of port-Hamiltonian systems with inhomogeneous initial conditions. The …
Mixed Riccati–Lyapunov Balanced Truncation for Order Reduction of Electrical Circuit Systems
This paper proposes a novel algorithm, termed Mixed Riccati–Lyapunov Balanced
Truncation (MRLBT), tailored for order reduction of Linear Time-Invariant Continuous-Time …
Truncation (MRLBT), tailored for order reduction of Linear Time-Invariant Continuous-Time …
Adaptive frequency‐limited‐model order reduction
In this paper, we present an adaptive framework for constructing a pseudo‐optimal reduced
model for the frequency‐limited‐optimal model order reduction problem. We show that the …
model for the frequency‐limited‐optimal model order reduction problem. We show that the …
New input-output matrices based frequency interval balanced truncation
The existing frequency-limited interval-based model reduction techniques can generate
unstable models for a stable continuous-time linear system. Further, some current methods …
unstable models for a stable continuous-time linear system. Further, some current methods …
Relative error-based time-limited H2 model order reduction via oblique projection
In time-limited model order reduction, a reduced-order approximation of the original high-
order model is obtained that accurately approximates the original model within the desired …
order model is obtained that accurately approximates the original model within the desired …
H2 near-optimal projection methods for finite-horizon model order reduction
U Zulfiqar - 2021 - research-repository.uwa.edu.au
This thesis investigates the H 2-optimal model order reduction problem within finite time and
frequency intervals. Several oblique projection-based algorithms are proposed that …
frequency intervals. Several oblique projection-based algorithms are proposed that …