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Compartmental flow control : Decentralization, robustness and optimality

Blanchini, Franco ; Franco, Elisa ; Giordano, Giulia LU ; Mardanlou, Vahid and Montessoro, Pier Luca (2016) In Automatica 64. p.18-28
Abstract

We consider the flow control problem for a general class of compartmental nonlinear systems, which can be associated with a graph whose nodes represent subsystems with their own internal dynamics, and whose arcs represent flow links among them. We consider a network-decentralized control: each agent controls a link between two nodes and decides its actions based on the states of these nodes only. We first provide general necessary and sufficient stabilizability conditions, proving that suitable network-decentralized strategies assure robust stability. We also show that, if all the subsystems at the nodes are marginally stable, a proper network-decentralized strategy asymptotically assures the minimum-norm flow, without requiring... (More)

We consider the flow control problem for a general class of compartmental nonlinear systems, which can be associated with a graph whose nodes represent subsystems with their own internal dynamics, and whose arcs represent flow links among them. We consider a network-decentralized control: each agent controls a link between two nodes and decides its actions based on the states of these nodes only. We first provide general necessary and sufficient stabilizability conditions, proving that suitable network-decentralized strategies assure robust stability. We also show that, if all the subsystems at the nodes are marginally stable, a proper network-decentralized strategy asymptotically assures the minimum-norm flow, without requiring communication among agents.

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author
; ; ; and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Compartmental systems, Control of networks, Network-decentralized control, Optimality
in
Automatica
volume
64
pages
11 pages
publisher
Elsevier
external identifiers
  • scopus:84951834400
ISSN
0005-1098
DOI
10.1016/j.automatica.2015.10.046
language
English
LU publication?
no
id
badf3c73-bb9a-4a0a-9a66-6c36ec7706b6
date added to LUP
2016-07-06 15:11:27
date last changed
2025-10-14 10:42:01
@article{badf3c73-bb9a-4a0a-9a66-6c36ec7706b6,
  abstract     = {{<p>We consider the flow control problem for a general class of compartmental nonlinear systems, which can be associated with a graph whose nodes represent subsystems with their own internal dynamics, and whose arcs represent flow links among them. We consider a network-decentralized control: each agent controls a link between two nodes and decides its actions based on the states of these nodes only. We first provide general necessary and sufficient stabilizability conditions, proving that suitable network-decentralized strategies assure robust stability. We also show that, if all the subsystems at the nodes are marginally stable, a proper network-decentralized strategy asymptotically assures the minimum-norm flow, without requiring communication among agents.</p>}},
  author       = {{Blanchini, Franco and Franco, Elisa and Giordano, Giulia and Mardanlou, Vahid and Montessoro, Pier Luca}},
  issn         = {{0005-1098}},
  keywords     = {{Compartmental systems; Control of networks; Network-decentralized control; Optimality}},
  language     = {{eng}},
  month        = {{02}},
  pages        = {{18--28}},
  publisher    = {{Elsevier}},
  series       = {{Automatica}},
  title        = {{Compartmental flow control : Decentralization, robustness and optimality}},
  url          = {{http://dx.doi.org/10.1016/j.automatica.2015.10.046}},
  doi          = {{10.1016/j.automatica.2015.10.046}},
  volume       = {{64}},
  year         = {{2016}},
}