By Topic

A time-domain solution approach to model reduction

Sign In

Cookies must be enabled to login.After enabling cookies , please use refresh or reload or ctrl+f5 on the browser for the login options.

Formats Non-Member Member
$33 $13
Learn how you can qualify for the best price for this item!
Become an IEEE Member or Subscribe to
IEEE Xplore for exclusive pricing!
close button

puzzle piece

IEEE membership options for an individual and IEEE Xplore subscriptions for an organization offer the most affordable access to essential journal articles, conference papers, standards, eBooks, and eLearning courses.

Learn more about:

IEEE membership

IEEE Xplore subscriptions

1 Author(s)
T. B. Fowler ; Dept. of Phys. & Math., Christendom Coll., Front Royal, VA, USA

Theoretical limitations for model reduction systems described by ordinary differential equations are investigated through use of the system solution rather than the system state equations. The general case is discussed first and the specialized to linear time-varying systems and finally to linear time-invariant systems. The distance between the original and reduced systems is measured by an error norm corresponding to energy. The reduction method is based on partition of the state space into two orthogonal subspaces. It is an effective procedure which works for both stable and unstable systems but requires knowledge of the system solution in order to be applied. In general the reduced-order model cannot be separated from the initial conditions, but this is possible for linear systems. If there is a driving function acting on the system, it will affect the reduced-order model in an essential way, and its order then cannot in general be reduced

Published in:

IEEE Transactions on Circuits and Systems  (Volume:35 ,  Issue: 8 )