@Article{CiCP-12-1520, author = {}, title = {System Reduction Using an LQR-Inspired Version of Optimal Replacement Variables}, journal = {Communications in Computational Physics}, year = {2012}, volume = {12}, number = {5}, pages = {1520--1540}, abstract = {

Optimal Replacement Variables (ORV) is a method for approximating a large 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 new version of ORV, inspired by the linear quadratic regulator problem of control theory, which provides better accuracy, a guarantee of stability and is in some ways easier to use.

}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.190311.270112a}, url = {http://global-sci.org/intro/article_detail/cicp/7345.html} }