A switched system approach to dynamic race modelling
(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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https://lup.lub.lu.se/record/6466d292-393a-4b12-a900-98352cef0d66
- author
- Blanchini, Franco ; Casagrande, Daniele ; Giordano, Giulia LU and Viaro, Umberto
- organization
- publishing date
- 2016-08-01
- 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
- 2022-02-21 19:25:11
@article{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}}, keywords = {{Cooperative/competitive games; Greedy algorithms; Positive systems; Stability; Switching systems}}, language = {{eng}}, month = {{08}}, pages = {{37--48}}, publisher = {{Elsevier}}, 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}}, doi = {{10.1016/j.nahs.2015.12.006}}, volume = {{21}}, year = {{2016}}, }