Model reduction of linear hybrid systems
Dynamical Systems
2020-03-19 v1
Abstract
The paper proposes a model reduction algorithm for linear hybrid systems, i.e., hybrid systems with externally induced discrete events, with linear continuous subsystems, and linear reset maps. The model reduction algorithm is based on balanced truncation. Moreover, the paper also proves an analytical error bound for the difference between the input-output behaviors of the original and the reduced order model. This error bound is formulated in terms of singular values of the Gramians used for model reduction.
Cite
@article{arxiv.2003.07954,
title = {Model reduction of linear hybrid systems},
author = {Ion Victor Gosea and Mihaly Petreczky and John Leth and Rafael Wisniewski and Athanasios C. Antoulas},
journal= {arXiv preprint arXiv:2003.07954},
year = {2020}
}