Title
Nonlinear model order reduction using remainder functions
Abstract
This paper describes a novel approach to the problem of model order reduction (MOR) of very large nonlinear systems. We consider the behavior of a dynamic nonlinear system as having two fundamental characteristics: a global behavioral "envelope" that describes major transformations to the state of the system under external stimuli and a local behavior that describes small perturbation responses. The nonlinear low order envelope function is generated by using the remainders from the coalescence of projection bases taken through a space-state sample. A behavioral model can then be expressed as the superposition of these two descriptions, operating according to the input stimuli and the current state value.
Year
DOI
Venue
2006
10.1109/DATE.2006.244138
DATE
Keywords
Field
DocType
nonlinear network synthesis,perturbation techniques,reduced order systems,linear projections,nonlinear model order reduction,nonlinear systems,perturbation responses,remainder functions,space-state sample
Superposition principle,Mathematical optimization,Nonlinear system,Model order reduction,Envelope (waves),Computer science,Parallel computing,Behavioral modeling,Remainder,Algorithm,Projection (linear algebra),Recursion
Conference
Volume
ISSN
ISBN
1
1530-1591
3-9810801-0-6
Citations 
PageRank 
References 
0
0.34
2
Authors
3
Name
Order
Citations
PageRank
Jose A. Martinez141.54
Steven P. Levitan228860.98
Donald M. Chiarulli321324.91