Characterising Stability Implying Properties that are Preserved under Feedback
(2016) 55th IEEE Conference on Decision and Control 2016- Abstract
- The passivity approach to the design of large networks is based on preserving the passivity property under different types of interconnection: parallel and negative feedback. Since the passivity property implies stability, this allows large and topologically complex networks to be constructed on the basis of simple local rules without the need for global stability analysis. In this paper we characterise two different stability implying properties that are preserved under negative feedback. The first generalises the passivity approach to electrical network design to other classes of minimum phase impedance functions. The second allows for networks with, for example, Laplacian structures in the feedback loop, to be designed using only local... (More)
- The passivity approach to the design of large networks is based on preserving the passivity property under different types of interconnection: parallel and negative feedback. Since the passivity property implies stability, this allows large and topologically complex networks to be constructed on the basis of simple local rules without the need for global stability analysis. In this paper we characterise two different stability implying properties that are preserved under negative feedback. The first generalises the passivity approach to electrical network design to other classes of minimum phase impedance functions. The second allows for networks with, for example, Laplacian structures in the feedback loop, to be designed using only local models. (Less)
Please use this url to cite or link to this publication:
https://lup.lub.lu.se/record/cb503b8e-17a8-4136-98c3-1bdcb6c07e85
- author
- Pates, Richard LU
- organization
- publishing date
- 2016
- type
- Chapter in Book/Report/Conference proceeding
- publication status
- published
- subject
- host publication
- 55th IEEE Conference on Decision and Control (CDC 2016)
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- conference name
- 55th IEEE Conference on Decision and Control 2016
- conference location
- Las Vegas, NV, United States
- conference dates
- 2016-09-12 - 2016-09-14
- external identifiers
-
- scopus:85010790025
- DOI
- 10.1109/CDC.2016.7799330
- project
- Distributed Control and Verification
- language
- English
- LU publication?
- yes
- id
- cb503b8e-17a8-4136-98c3-1bdcb6c07e85
- date added to LUP
- 2018-02-01 10:54:42
- date last changed
- 2022-01-31 01:36:59
@inproceedings{cb503b8e-17a8-4136-98c3-1bdcb6c07e85,
abstract = {{The passivity approach to the design of large networks is based on preserving the passivity property under different types of interconnection: parallel and negative feedback. Since the passivity property implies stability, this allows large and topologically complex networks to be constructed on the basis of simple local rules without the need for global stability analysis. In this paper we characterise two different stability implying properties that are preserved under negative feedback. The first generalises the passivity approach to electrical network design to other classes of minimum phase impedance functions. The second allows for networks with, for example, Laplacian structures in the feedback loop, to be designed using only local models.}},
author = {{Pates, Richard}},
booktitle = {{55th IEEE Conference on Decision and Control (CDC 2016)}},
language = {{eng}},
publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
title = {{Characterising Stability Implying Properties that are Preserved under Feedback}},
url = {{https://lup.lub.lu.se/search/files/37887825/CDC2016.pdf}},
doi = {{10.1109/CDC.2016.7799330}},
year = {{2016}},
}