English

Monotone RLC Circuits

Systems and Control 2021-04-07 v2 Systems and Control Optimization and Control

Abstract

The circuit-theoretic origins of maximal monotonicity are revisited using modern optimization algorithms for maximal monotone operators. We present an algorithm for computing the periodic behavior of an interconnection of maximal monotone systems using a fixed point iteration. The fixed point iteration may be split according to the interconnection structure of the system. In this preliminary work, the approach is demonstrated on port interconnections of maximal monotone resistors and LTI capacitors and inductors.

Keywords

Cite

@article{arxiv.2012.11533,
  title  = {Monotone RLC Circuits},
  author = {Thomas Chaffey and Rodolphe Sepulchre},
  journal= {arXiv preprint arXiv:2012.11533},
  year   = {2021}
}

Comments

Accepted for presentation at the 2021 European Control Conference

R2 v1 2026-06-23T21:09:11.521Z