scholarly journals System‐theoretic model order reduction with pyMOR

PAMM ◽  
2019 ◽  
Vol 19 (1) ◽  
Author(s):  
Linus Balicki ◽  
Petar Mlinarić ◽  
Stephan Rave ◽  
Jens Saak
Keyword(s):  
Model Order Reduction ◽  
Order Reduction ◽  
Theoretic Model ◽  
Model Order

scholarly journals The Versatile Cross Gramian for System Theoretic Model Reduction and More

2015 ◽  
Author(s):  
Christian Himpe ◽  
Mario Ohlberger
Keyword(s):  
Model Order Reduction ◽  
Order Reduction ◽  
Theoretic Model ◽  
Model Order ◽  
Gramian Matrix ◽  
The Cross ◽  
Analysis System ◽  
Single Matrix ◽  
Controllability And Observability ◽  
Symmetric Systems

For input-output systems, the cross gramian matrix encodes controllability and observability information into a single matrix, which are essential to system-theoretic applications. This system gramian can be used, in example, for model order reduction, sensitivity analysis, system identification, decentralized control and parameter identification. Beyond linear symmetric systems, the cross gramian is also available for parametric, non-symmetric, non-square and nonlinear systems.

THE NEW ALGORITHM OF SOLVING HARMONIC BALANCE EQUATIONS

2019 ◽  
Author(s):  
Vladimir Lantsov ◽  
A. Papulina
Keyword(s):  
Harmonic Balance ◽  
Model Order Reduction ◽  
Order Reduction ◽  
Balance Equations ◽  
Model Order ◽  
Cad Systems ◽  
Computational Costs ◽  
Reduction Methods ◽  
Model Equations

The new algorithm of solving harmonic balance equations which used in electronic CAD systems is presented. The new algorithm is based on implementation to harmonic balance equations the ideas of model order reduction methods. This algorithm allows significantly reduce the size of memory for storing of model equations and reduce of computational costs.

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