scholarly journals SVD-Krylov based techniques for structure-preserving reduced order modelling of second-order systems

2021 ◽  
Vol 1 (2) ◽  
pp. 79-89
Author(s):  
Md. Motlubar Rahman ◽  
◽  
Mahtab Uddin ◽  
M. Monir Uddin ◽  
L. S. Andallah ◽  
...  
Keyword(s):  
Second Order ◽  
Reduced Order ◽  
Structure Preserving ◽  
Reduced Order Modelling ◽  
Second Order Systems

scholarly journals Correction: SVD-Krylov based techniques for structure-preserving reduced order modelling of second-order systems

2021 ◽  
Vol 1 (3) ◽  
pp. 134-135
Author(s):  
Md. Motlubar Rahman ◽  
◽  
Mahtab Uddin ◽  
M. Monir Uddin ◽  
L. S. Andallah ◽  
...  
Keyword(s):  
Second Order ◽  
Reduced Order ◽  
Structure Preserving ◽  
Reduced Order Modelling ◽  
Second Order Systems

scholarly journals Passive reduced order modelling of second-order systems

2008 ◽  
Vol 14 (5) ◽  
pp. 407-420 ◽  
Author(s):  
B. Salimbahrami ◽  
B. Lohmann ◽  
A. Bunse-Gerstner
Keyword(s):  
Second Order ◽  
Reduced Order ◽  
Reduced Order Modelling ◽  
Second Order Systems

Time-limited Gramians-based model order reduction for second-order form systems

2018 ◽  
Vol 41 (8) ◽  
pp. 2310-2318 ◽  
Author(s):  
Shafiq Haider ◽  
Abdul Ghafoor ◽  
Muhammad Imran ◽  
Fahad Mumtaz Malik
Keyword(s):  
Model Order Reduction ◽  
Large Scale ◽  
Order Reduction ◽  
Second Order ◽  
Reduced Order Models ◽  
Infinite Time ◽  
Model Order ◽  
Reduced Order ◽  
Order Form ◽  
Second Order Systems

A new scheme for model order reduction of large-scale second-order systems in time-limited intervals is presented. Time-limited Gramians that are solutions of continuous-time algebraic Lyapunov equations for second-order form systems are introduced. Time-limited second-order balanced truncation procedures with provision of balancing position and velocity Gramians are formulated. Stability conditions for reduced-order models are stated and algorithms that preserve stability in reduced-order models are discussed. Numerical examples are presented to validate the superiority of the proposed scheme compared with the infinite-time Gramians technique for time-limited applications.

Structure Preserving Order Reduction of Large Scale Second Order Systems

2004 ◽  
Vol 37 (11) ◽  
pp. 233-238 ◽  
Author(s):  
Behnam Salimbahrami ◽  
Boris Lohmann
Keyword(s):  
Large Scale ◽  
Order Reduction ◽  
Second Order ◽  
Structure Preserving ◽  
Second Order Systems
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