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Characterising Stability Implying Properties that are Preserved under Feedback

Pates, Richard LU (2016) 55th IEEE Conference on Decision and Control 2016 In 55th IEEE Conference on Decision and Control (CDC 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)
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author
organization
publishing date
type
Chapter in Book/Report/Conference proceeding
publication status
published
subject
in
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
external identifiers
  • scopus:85010790025
DOI
10.1109/CDC.2016.7799330
language
English
LU publication?
yes
id
cb503b8e-17a8-4136-98c3-1bdcb6c07e85
date added to LUP
2018-02-01 10:54:42
date last changed
2018-02-14 10:55:16
@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          = {http://dx.doi.org/10.1109/CDC.2016.7799330},
  year         = {2016},
}