@inproceedings{5a4e2ef262f140cfbb76cac765012700,
title = "Balanced truncation of perturbative representations of nonlinear systems",
abstract = "The paper presents a novel approach for a balanced truncation style of model reduction of a perturbative representation of a nonlinear system. Empirical controllability and observability gramians for nonlinear systems are employed to define a projection matrix. However, the projection matrix is applied to the perturbative representation of the system rather than directly to the exact nonlinear system. This is to achieve the required increase in efficiency desired of a reduced-order model. Application of the new method is illustrated through a sample test-system. The technique will be compared to the standard approach for reducing a perturbative representation of a nonlinear system.",
keywords = "Balanced truncation, Controllability and observability gramians, Model reduction",
author = "Marissa Condon and Georgi Grahovski and Rossen Ivanov",
year = "2007",
doi = "10.7148/2007-0431",
language = "English",
isbn = "0955301823",
series = "21st European Conference on Modelling and Simulation: Simulations in United Europe, ECMS 2007",
publisher = "European Council for Modelling and Simulation",
pages = "431--434",
booktitle = "21st European Conference on Modelling and Simulation",
note = "21st European Conference on Modelling and Simulation, ECMS 2007 ; Conference date: 04-06-2007 Through 06-06-2007",
}