Second-order model reduction based on Gramians

Some new and simple gramian-based model order reduction algorithms are presented on second-order linear dynamical systems,namely,svd methods. compared to existing gramian-based algorithms,that is,balanced truncation methods,they are competitive and more favorable for large-scale systems. numerical examples show the validity of the algorithms. error bounds on error systems are discussed. some observations are given on structures of gramians of second order linear systems. copyright © 2012 cong teng.