Synchronization approached through the lens of primitivity

Gonze, François;Gerencser, Balazs;Jungers, Raphaël
(2016) Benelux Meeting in Systems and Control — Location: Soesterberg, the Netherlands (22.March.2016)

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Authors
  • Gonze, FrançoisUCLouvain
    Author
  • Gerencser, BalazsUCLouvain
    Author
  • Jungers, RaphaëlUCLouvain
    Author
Abstract
Because of its links with synchronization and reachability of consensus, primitivity has recently attracted attention in the engineering community. Moreover, it allows to approach the Cˇerny´ Conjecture, one of the most famous open problems in automata theory. In this work, we tackle the problem of generating sets of large matrices with the primitivity property. We propose a methodology to generate such sets and show its performance on numerical experiments.
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Gonze, F., Gerencser, B., & Jungers, R. (2016). Synchronization approached through the lens of primitivity. Benelux Meeting in Systems and Control, Soesterberg, the Netherlands. https://hdl.handle.net/2078.5/227980