Snapshot-based Balanced Truncation for Linear Time-periodic Systems
Optimization and Control
2007-08-06 v1 Dynamical Systems
Abstract
We introduce an algorithm based on a method of snapshots for computing approximate balanced truncations for discrete-time, stable, linear time-periodic systems. By construction, this algorithm is applicable to very high-dimensional systems, even with very high-dimensional outputs (or, alternatively, very high-dimensional inputs). An example is shown to validate the method.
Cite
@article{arxiv.0708.0437,
title = {Snapshot-based Balanced Truncation for Linear Time-periodic Systems},
author = {Zhanhua Ma and Clarence W. Rowley and Gilead Tadmor},
journal= {arXiv preprint arXiv:0708.0437},
year = {2007}
}