A switched system approach to dynamic race modelling

Franco Blanchini, Daniele Casagrande, Giulia Giordano, Umberto Viaro

Research output: Contribution to journalArticleScientificpeer-review

3 Citations (Scopus)

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.

Original languageEnglish
Pages (from-to)37-48
Number of pages12
JournalNonlinear Analysis: Hybrid Systems
Volume21
DOIs
Publication statusPublished - 1 Aug 2016
Externally publishedYes

Keywords

  • Cooperative/competitive games
  • Greedy algorithms
  • Positive systems
  • Stability
  • Switching systems

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