scholarly journals Model Reduction by Balanced Truncation of Linear Systems with a Quadratic Output

2010 ◽  
Author(s):  
Roel Van Beeumen ◽  
Karl Meerbergen ◽  
Theodore E. Simos ◽  
George Psihoyios ◽  
Ch. Tsitouras
Keyword(s):  
Model Reduction ◽  
Linear Systems ◽  
Balanced Truncation

scholarly journals A Unified Software Framework for Empirical Gramians

2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Christian Himpe ◽  
Mario Ohlberger
Keyword(s):  
Nonlinear Systems ◽  
Dynamic System ◽  
Model Reduction ◽  
Linear Systems ◽  
Multiple Input Multiple Output ◽  
Computational Method ◽  
Software Framework ◽  
Balanced Truncation ◽  
Multiple Input ◽  
Input Multiple Output

A common approach in model reduction is balanced truncation, which is based on Gramian matrices classifying certain attributes of states or parameters of a given dynamic system. Initially restricted to linear systems, the empirical Gramians not only extended this concept to nonlinear systems but also provided a uniform computational method. This work introduces a unified software framework supplying routines for six types of empirical Gramians. The Gramian types will be discussed and applied in a model reduction framework for multiple-input multiple-output systems.

Model reduction in power systems using a structure-preserving balanced truncation approach

2019 ◽  
Vol 177 ◽  
pp. 106002
Author(s):  
Johnny Leung ◽  
Michel Kinnaert ◽  
Jean-Claude Maun ◽  
Fortunato Villella
Keyword(s):  
Power Systems ◽  
Model Reduction ◽  
Balanced Truncation ◽  
Structure Preserving

scholarly journals Model reduction by balanced truncation of dominant Lure systems

2020 ◽  
Vol 53 (2) ◽  
pp. 5617-5622
Author(s):  
Alberto Padoan ◽  
Fulvio Forni ◽  
Rodolphe Sepulchre
Keyword(s):  
Model Reduction ◽  
Balanced Truncation

scholarly journals Structured model reduction of interconnected linear systems based on singular perturbation

2013 ◽  
Author(s):  
Takayuki Ishizaki ◽  
Henrik Sandberg ◽  
Karl Henrik Johansson ◽  
Kenji Kashima ◽  
Jun-ichi Imura ◽  
...  
Keyword(s):  
Singular Perturbation ◽  
Model Reduction ◽  
Linear Systems ◽  
Structured Model
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