Circuit analysis using monotone+skew splitting
Chaffey, Thomas ; Banert, Sebastian LU ; Giselsson, Pontus LU
and Pates, Richard
LU
(2023)
In European Journal of Control
- Abstract
- It is shown that the behavior of an m-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–Vũ 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.
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/a7da4392-1f49-4073-aae8-92299ff52ecb
- author
- Chaffey, Thomas
; Banert, Sebastian
LU
; Giselsson, Pontus
LU
and Pates, Richard
LU
- organization
- publishing date
- 2023
- type
- Contribution to journal
- publication status
- published
- subject
- in
- European Journal of Control
- article number
- 100854
- publisher
- Lavoisier
- external identifiers
-
- scopus:85170044205
- ISSN
- 0947-3580
- DOI
- 10.1016/j.ejcon.2023.100854
- language
- English
- LU publication?
- yes
- id
- a7da4392-1f49-4073-aae8-92299ff52ecb
- date added to LUP
- 2023-06-27 21:36:00
- date last changed
- 2023-11-22 23:14:29
@article{a7da4392-1f49-4073-aae8-92299ff52ecb,
abstract = {{It is shown that the behavior of an m-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–Vũ 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.}},
author = {{Chaffey, Thomas and Banert, Sebastian and Giselsson, Pontus and Pates, Richard}},
issn = {{0947-3580}},
language = {{eng}},
publisher = {{Lavoisier}},
series = {{European Journal of Control}},
title = {{Circuit analysis using monotone+skew splitting}},
url = {{http://dx.doi.org/10.1016/j.ejcon.2023.100854}},
doi = {{10.1016/j.ejcon.2023.100854}},
year = {{2023}},
}