A switched system approach to dynamic race modelling

Journal article (2016)

Authors

Franco Blanchini Università degli Studi di Udine
Daniele Casagrande Università degli Studi di Udine
G. Giordano Università degli Studi di Udine
Umberto Viaro Università degli Studi di Udine
Affiliation
External organisation
Stability Greedy algorithms Positive systems Cooperative/competitive games Switching systems
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Published Date

01-08-2016

Language

English

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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.