Volume 12, Issue 5
System Reduction Using an LQR-inspired Version of Optimal Replacement Variables

Alex Solomonoff

10.4208/cicp.190311.270112a

Commun. Comput. Phys., 12 (2012), pp. 1520-1540.

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  • Abstract

OptimalReplacementVariables(ORV) isamethodforapproximatingalarge system of ODEs by one with fewer equations, while attempting to preserve the essential dynamics of a reduced set of variables of interest. An earlier version of ORV [1] had some issues, including limited accuracy and in some rare cases, instability. Here we present a newversion of ORV, inspired by the linear quadraticregulatorproblemof control theory, which provides better accuracy, a guarantee of stability and is in some ways easier to use. 

  • History

Published online: 2012-12

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