TY - JOUR
T1 - System Reduction Using an LQR-Inspired Version of Optimal Replacement Variables
AU - Alex Solomonoff
JO - Communications in Computational Physics
VL - 5
SP - 1520
EP - 1540
PY - 2012
DA - 2012/12
SN - 12
DO - http://doi.org/10.4208/cicp.190311.270112a
UR - https://global-sci.org/intro/article_detail/cicp/7345.html
KW - 
AB - <p style="text-align: justify;">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.</p>