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Model Reduction and System Identification for Master Equation Control Systems 
Abstract 
A master equation describes the continuous … A master equation describes the continuoustime evolution of a probability distribution, and
is characterized by a simple bilinear structure and an oftenhigh dimension. We develop a
model reduction approach in which the number of possible confiurations and corresponding
dimension is reduced, by removing improbable configurations and grouping similar ones. Error
bounds for the reduction are derived based on a minimum and maximum time scale of interest.
An analogous linear identification procedure is then presented, which computes the state and
output matrices for a predetermined configuration set. These ideas are demonstrated first in
a finitedimensional model inspired by problems in surface evolution, and then in an infinite
dimensional film growth master equation. 
dimensional film growth master equation. +


Authors  Martha A. Gallivan and Richard M. Murray + 
ID  2002v + 
Source  2003 American Control Conference + 
Tag  gm03acc + 
Title  Model Reduction and System Identification for Master Equation Control Systems + 
Type  Conference Paper + 
Categories  Papers 
Modification date This property is a special property in this wiki.

15 May 2016 06:18:49 + 
URL This property is a special property in this wiki.

http://www.cds.caltech.edu/~murray/preprints/gm03acc.pdf + 
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