Circuit Analysis using Monotone+Skew Splitting
Optimization and Control
2023-06-21 v2 Systems and Control
Systems and Control
Abstract
It is shown that the behavior of an -port circuit of maximal monotone elements can be expressed as a zero of the sum of a maximal monotone operator containing the circuit elements, and a structured skew-symmetric linear operator representing the interconnection structure, together with a linear output transformation. The Condat-V\~u algorithm solves inclusion problems of this form, and may be used to solve for the periodic steady-state behavior, given a periodic excitation at each port, using an iteration in the space of periodic trajectories.
Cite
@article{arxiv.2211.14010,
title = {Circuit Analysis using Monotone+Skew Splitting},
author = {Thomas Chaffey and Sebastian Banert and Pontus Giselsson and Richard Pates},
journal= {arXiv preprint arXiv:2211.14010},
year = {2023}
}
Comments
Published in the European Journal of Control special issue for the 2023 European Control Conference