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On resilient control of dynamical flow networks

Como, Giacomo LU (2016) In Annual Reviews in Control
Abstract

Resilience has become a key aspect in the design of contemporary infrastructure networks. This comes as a result of ever-increasing loads, limited physical capacity, and fast-growing levels of interconnectedness and complexity due to the recent technological advancements. The problem has motivated a considerable amount of research within the last few years, particularly focused on the dynamical aspects of network flows, complementing more classical static network flow optimization approaches.In this tutorial paper, a class of single-commodity first-order models of dynamical flow networks is considered. A few results recently appeared in the literature and dealing with stability and robustness of dynamical flow networks are gathered and... (More)

Resilience has become a key aspect in the design of contemporary infrastructure networks. This comes as a result of ever-increasing loads, limited physical capacity, and fast-growing levels of interconnectedness and complexity due to the recent technological advancements. The problem has motivated a considerable amount of research within the last few years, particularly focused on the dynamical aspects of network flows, complementing more classical static network flow optimization approaches.In this tutorial paper, a class of single-commodity first-order models of dynamical flow networks is considered. A few results recently appeared in the literature and dealing with stability and robustness of dynamical flow networks are gathered and originally presented in a unified framework. In particular, (differential) stability properties of monotone dynamical flow networks are treated in some detail, and the notion of margin of resilience is introduced as a quantitative measure of their robustness. While emphasizing methodological aspects -including structural properties, such as monotonicity, that enable tractability and scalability- over the specific applications, connections to well-established road traffic flow models are made.

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author
organization
publishing date
type
Contribution to journal
publication status
epub
subject
keywords
Compartmental systems, Distributed control, Dynamical flow networks, Dynamical routing, Monotone systems, Network flow control, Network resilience, Robust control, Transportation networks
in
Annual Reviews in Control
publisher
Elsevier
external identifiers
  • scopus:85009813076
  • wos:000403133700003
ISSN
1367-5788
DOI
10.1016/j.arcontrol.2017.01.001
language
English
LU publication?
yes
id
fd73ab74-3711-4e13-987e-38ecc71056c4
date added to LUP
2017-04-11 09:52:59
date last changed
2017-10-29 05:00:15
@article{fd73ab74-3711-4e13-987e-38ecc71056c4,
  abstract     = {<p>Resilience has become a key aspect in the design of contemporary infrastructure networks. This comes as a result of ever-increasing loads, limited physical capacity, and fast-growing levels of interconnectedness and complexity due to the recent technological advancements. The problem has motivated a considerable amount of research within the last few years, particularly focused on the dynamical aspects of network flows, complementing more classical static network flow optimization approaches.In this tutorial paper, a class of single-commodity first-order models of dynamical flow networks is considered. A few results recently appeared in the literature and dealing with stability and robustness of dynamical flow networks are gathered and originally presented in a unified framework. In particular, (differential) stability properties of monotone dynamical flow networks are treated in some detail, and the notion of margin of resilience is introduced as a quantitative measure of their robustness. While emphasizing methodological aspects -including structural properties, such as monotonicity, that enable tractability and scalability- over the specific applications, connections to well-established road traffic flow models are made.</p>},
  author       = {Como, Giacomo},
  issn         = {1367-5788},
  keyword      = {Compartmental systems,Distributed control,Dynamical flow networks,Dynamical routing,Monotone systems,Network flow control,Network resilience,Robust control,Transportation networks},
  language     = {eng},
  month        = {09},
  publisher    = {Elsevier},
  series       = {Annual Reviews in Control},
  title        = {On resilient control of dynamical flow networks},
  url          = {http://dx.doi.org/10.1016/j.arcontrol.2017.01.001},
  year         = {2016},
}