On the Post-Lie Structure in SISO Affine Feedback Control Systems
Optimization and Control
2024-03-27 v2
Abstract
The main objective of this work is to show that the single-input, single-output (SISO) affine feedback group, a transformation group in the context of the affine feedback interconnection of Chen-Fliess series, is a post-group in the sense of Bai, Guo, Sheng and Tang.
Cite
@article{arxiv.2311.04070,
title = {On the Post-Lie Structure in SISO Affine Feedback Control Systems},
author = {Kurusch Ebrahimi-Fard and W. Steven Gray and Venkatesh G. S.},
journal= {arXiv preprint arXiv:2311.04070},
year = {2024}
}