Model independent numerical procedure for the diagonalization of a Multiple Input Multiple Output dynamic system

2010 ◽  
Author(s):  
Gianluca Persichetti ◽  
Antonino Chiummo ◽  
Fausto Acernese ◽  
Fabrizio Barone ◽  
Rosario De Rosa ◽  
...  
Keyword(s):  
Dynamic System ◽  
Multiple Input Multiple Output ◽  
Numerical Procedure ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Model Independent

Model Independent Numerical Procedure for the Diagonalization of a Multiple Input Multiple Output Dynamic System

2011 ◽  
Vol 58 (4) ◽  
pp. 1588-1595 ◽  
Author(s):  
Gianluca Persichetti ◽  
Antonino Chiummo ◽  
Fausto Acernese ◽  
Fabrizio Barone ◽  
Rosario De Rosa ◽  
...  
Keyword(s):  
Dynamic System ◽  
Multiple Input Multiple Output ◽  
Numerical Procedure ◽  
Multiple Input ◽  
Input Multiple Output ◽  
Model Independent

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.

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