Empirical balanced truncation of nonlinear systems
Optimization and Control
2007-05-23 v1 Dynamical Systems
Abstract
Novel constructions of empirical controllability and observability gramians for nonlinear systems for subsequent use in a balanced truncation style of model reduction are proposed. The new gramians are based on a generalisation of the fundamental solution for a Linear Time-Varying system. Relationships between the given gramians for nonlinear systems and the standard gramians for both Linear Time-Invariant and Linear Time-Varying systems are established as well as relationships to prior constructions proposed for empirical gramians. Application of the new gramians is illustrated through a sample test-system.
Cite
@article{arxiv.math/0606430,
title = {Empirical balanced truncation of nonlinear systems},
author = {Marissa Condon and Rossen I. Ivanov},
journal= {arXiv preprint arXiv:math/0606430},
year = {2007}
}
Comments
LaTeX, 11 pages, 2 figures