Oscillations in Mixed-Feedback Systems
Systems and Control
2021-10-05 v2 Systems and Control
Abstract
A new method is presented for the analysis of limit cycle oscillations in mixed-feedback systems. The calculation of the limit cycle is reformulated as the zero finding of a mixed-monotone relation, that is, of the difference of two maximally monotone relations. The problem can then be solved efficiently by borrowing existing algorithms that minimize the difference of two convex functions. The potential of the method is illustrated on the classical Van der Pol oscillator.
Cite
@article{arxiv.2103.16379,
title = {Oscillations in Mixed-Feedback Systems},
author = {Amritam Das and Thomas Chaffey and Rodolphe Sepulchre},
journal= {arXiv preprint arXiv:2103.16379},
year = {2021}
}