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Model reduction, centering, and the Karhunen-Loeve expansion

Glavaški, Sonja and Marsden, Jerrold E. and Murray, Richard M. (1998) Model reduction, centering, and the Karhunen-Loeve expansion. In: IEEE Conference on Decision and Control, 37th (CDC 1998), Tampa, FL, 16-18 December 1998. Vol.2. IEEE , Piscataway, NJ, pp. 2071-2076. ISBN 0-7803-4394-8.

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We propose a new computationally efficient modeling method that captures a given translation symmetry in a system. To obtain a low order approximate system of ODEs, prior to performing a Karhunen Loeve expansion, we process the available data set using a “centering” procedure. This approach has been shown to be efficient in nonlinear scalar wave equations.

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Murray, Richard M.0000-0002-5785-7481
Additional Information:© Copyright 1998 IEEE. Reprinted with permission. Meeting Date: 12/16/1998 - 12/18/1998. The authors are thankful to Igor Mezić, John Doyle, Michael Dellnitz, and Larry Sirovich for many helpful and educational discussions.
Subject Keywords:Galerkin method; nonlinear systems; partial differential equations; reduced order systems; series (mathematics); Karhunen-Loeve expansion; centering; model reduction; nonlinear scalar wave equations; translation symmetry
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ID Code:12615
Deposited On:15 Dec 2008 21:51
Last Modified:08 Nov 2021 22:31

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