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Consensus of a Class of Nonlinear Systems With Varying Topology : A Hilbert Metric Approach

Wu, Dongjun LU (2025) In IEEE Transactions on Automatic Control
Abstract

In this technical note, we introduce a novel approach to studying consensus of continuous-time nonlinear systems with varying topology based on Hilbert metric. We demonstrate that this metric offers significant flexibility in analyzing consensus properties, while effectively handling nonlinearities and time dependencies. Notably, our approach relaxes key technical assumptions from some standard results while yielding stronger conclusions with shorter proofs. This framework provides new insights into nonlinear consensus under varying topology.

Please use this url to cite or link to this publication:
author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Hilbert metric, nonlinear consensus, varying topology
in
IEEE Transactions on Automatic Control
publisher
IEEE - Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:105005179226
ISSN
0018-9286
DOI
10.1109/TAC.2025.3570225
language
English
LU publication?
yes
additional info
Publisher Copyright: © 1963-2012 IEEE.
id
9e21d330-8d11-4072-bb0a-aa422e545b5d
date added to LUP
2025-08-18 14:48:45
date last changed
2025-08-18 14:48:54
@article{9e21d330-8d11-4072-bb0a-aa422e545b5d,
  abstract     = {{<p>In this technical note, we introduce a novel approach to studying consensus of continuous-time nonlinear systems with varying topology based on Hilbert metric. We demonstrate that this metric offers significant flexibility in analyzing consensus properties, while effectively handling nonlinearities and time dependencies. Notably, our approach relaxes key technical assumptions from some standard results while yielding stronger conclusions with shorter proofs. This framework provides new insights into nonlinear consensus under varying topology.</p>}},
  author       = {{Wu, Dongjun}},
  issn         = {{0018-9286}},
  keywords     = {{Hilbert metric; nonlinear consensus; varying topology}},
  language     = {{eng}},
  publisher    = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}},
  series       = {{IEEE Transactions on Automatic Control}},
  title        = {{Consensus of a Class of Nonlinear Systems With Varying Topology : A Hilbert Metric Approach}},
  url          = {{http://dx.doi.org/10.1109/TAC.2025.3570225}},
  doi          = {{10.1109/TAC.2025.3570225}},
  year         = {{2025}},
}