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Positive Network Systems : Heuristic Methods and Opinion Dynamics

Ohlin, David LU orcid (2024) In Research Reports TFRT-3283
Abstract
The analysis of interconnected systems is a large and growing field, with successful applications in a wide range of natural and synthesized systems. Biomolecular networks, power grids and human social dynamics have all been the subject of study through the lens of network dynamics, with impressive results. The work presented in this thesis takes the form of four research papers all focusing in different ways on networks. These networks consist of simple systems, which interact to give rise to more complex dynamics. The first and second papers deal with methods for controlling interconnected positive linear systems in ways that remain viable as the scale of the system grows. In the third and fourth papers, models for opinion dynamics are... (More)
The analysis of interconnected systems is a large and growing field, with successful applications in a wide range of natural and synthesized systems. Biomolecular networks, power grids and human social dynamics have all been the subject of study through the lens of network dynamics, with impressive results. The work presented in this thesis takes the form of four research papers all focusing in different ways on networks. These networks consist of simple systems, which interact to give rise to more complex dynamics. The first and second papers deal with methods for controlling interconnected positive linear systems in ways that remain viable as the scale of the system grows. In the third and fourth papers, models for opinion dynamics are constructed by extending existing linear and positive models, using nonlinearities to capture more complex behavior. Specifically, this enables asymptotic disagreement, or dissensus, between agents as the dynamics evolve. (Less)
Please use this url to cite or link to this publication:
author
supervisor
organization
publishing date
type
Thesis
publication status
published
subject
keywords
Optimal control, Opinion dynamics
in
Research Reports TFRT-3283
pages
119 pages
publisher
Department of Automatic Control, Lund University
ISSN
0280-5316
project
WASP NEST: Learning in Networks: Structure, Dynamics, and Control
Dynamics of Complex Socio-Technological Network Systems
language
English
LU publication?
yes
id
d6ab1ed7-a7f9-4524-b2a3-97873f88cf1a
date added to LUP
2025-02-07 17:25:57
date last changed
2025-04-04 14:48:37
@misc{d6ab1ed7-a7f9-4524-b2a3-97873f88cf1a,
  abstract     = {{The analysis of interconnected systems is a large and growing field, with successful applications in a wide range of natural and synthesized systems. Biomolecular networks, power grids and human social dynamics have all been the subject of study through the lens of network dynamics, with impressive results. The work presented in this thesis takes the form of four research papers all focusing in different ways on networks. These networks consist of simple systems, which interact to give rise to more complex dynamics. The first and second papers deal with methods for controlling interconnected positive linear systems in ways that remain viable as the scale of the system grows. In the third and fourth papers, models for opinion dynamics are constructed by extending existing linear and positive models, using nonlinearities to capture more complex behavior. Specifically, this enables asymptotic disagreement, or dissensus, between agents as the dynamics evolve.}},
  author       = {{Ohlin, David}},
  issn         = {{0280-5316}},
  keywords     = {{Optimal control; Opinion dynamics}},
  language     = {{eng}},
  month        = {{09}},
  note         = {{Licentiate Thesis}},
  publisher    = {{Department of Automatic Control, Lund University}},
  series       = {{Research Reports TFRT-3283}},
  title        = {{Positive Network Systems : Heuristic Methods and Opinion Dynamics}},
  url          = {{https://lup.lub.lu.se/search/files/207943021/LicentiatavhandlingTRYCK.pdf}},
  year         = {{2024}},
}