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A switched system approach to dynamic race modelling

Blanchini, Franco; Casagrande, Daniele; Giordano, Giulia LU and Viaro, Umberto (2016) In Nonlinear Analysis: Hybrid Systems 21. p.37-48
Abstract

The paper presents and analyses some nonlinear continuous-time dynamic models of social systems whose members, groups or individuals, may change partners and/or opponents at any time, according to a greedy criterion. The main structural properties of these models, which belong to the class of positive switching systems, are investigated with particular regard to the existence of solutions, their positivity, boundedness and asymptotic behaviour. Simulations show how the cooperative or hostile attitudes of the participants affect their yield.

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author
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Cooperative/competitive games, Greedy algorithms, Positive systems, Stability, Switching systems
in
Nonlinear Analysis: Hybrid Systems
volume
21
pages
12 pages
publisher
Elsevier
external identifiers
  • Scopus:84956515445
ISSN
1751-570X
DOI
10.1016/j.nahs.2015.12.006
language
English
LU publication?
no
id
6466d292-393a-4b12-a900-98352cef0d66
date added to LUP
2016-07-06 15:07:22
date last changed
2016-07-26 13:04:06
@misc{6466d292-393a-4b12-a900-98352cef0d66,
  abstract     = {<p>The paper presents and analyses some nonlinear continuous-time dynamic models of social systems whose members, groups or individuals, may change partners and/or opponents at any time, according to a greedy criterion. The main structural properties of these models, which belong to the class of positive switching systems, are investigated with particular regard to the existence of solutions, their positivity, boundedness and asymptotic behaviour. Simulations show how the cooperative or hostile attitudes of the participants affect their yield.</p>},
  author       = {Blanchini, Franco and Casagrande, Daniele and Giordano, Giulia and Viaro, Umberto},
  issn         = {1751-570X},
  keyword      = {Cooperative/competitive games,Greedy algorithms,Positive systems,Stability,Switching systems},
  language     = {eng},
  month        = {08},
  pages        = {37--48},
  publisher    = {ARRAY(0xba01498)},
  series       = {Nonlinear Analysis: Hybrid Systems},
  title        = {A switched system approach to dynamic race modelling},
  url          = {http://dx.doi.org/10.1016/j.nahs.2015.12.006},
  volume       = {21},
  year         = {2016},
}