Switching Transformations for Decentralized Control of Opinion Patterns in Signed Networks: Application to Dynamic Task Allocation

Anastasia Bizyaeva, Giovanna Amorim, Maria Santos, Alessio Franci, Naomi Ehrich Leonard

Research output: Contribution to journalArticlepeer-review

Abstract

We propose a new decentralized design to control opinion patterns on signed networks of agents making decisions about two options and to switch the network from any opinion pattern to a new desired one. Our method relies on switching transformations, which switch the sign of an agent's opinion at a stable equilibrium by flipping the sign of the interactions with its neighbors. The global dynamical behavior of the switched network can be predicted rigorously when the original, and thus the switched, networks are structurally balanced. Structural balance ensures that the network dynamics are monotone, which makes the study of the basin of attraction of the various opinion patterns amenable to monotone systems theory. We illustrate the utility of the approach through scenarios motivated by multi-robot coordination and dynamic task allocation.

Original languageEnglish (US)
Pages (from-to)3463-3468
Number of pages6
JournalIEEE Control Systems Letters
Volume6
DOIs
StatePublished - 2022

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Control and Optimization

Keywords

  • Agents-based systems
  • Control of networks
  • Decentralized control
  • Distributed control
  • Network analysis and control

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