TY - JOUR
T1 - Switching Transformations for Decentralized Control of Opinion Patterns in Signed Networks
T2 - Application to Dynamic Task Allocation
AU - Bizyaeva, Anastasia
AU - Amorim, Giovanna
AU - Santos, Maria
AU - Franci, Alessio
AU - Leonard, Naomi Ehrich
N1 - Publisher Copyright:
© 2017 IEEE.
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Agents-based systems
KW - Control of networks
KW - Decentralized control
KW - Distributed control
KW - Network analysis and control
UR - http://www.scopus.com/inward/record.url?scp=85133684849&partnerID=8YFLogxK
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U2 - 10.1109/LCSYS.2022.3185981
DO - 10.1109/LCSYS.2022.3185981
M3 - Article
AN - SCOPUS:85133684849
SN - 2475-1456
VL - 6
SP - 3463
EP - 3468
JO - IEEE Control Systems Letters
JF - IEEE Control Systems Letters
ER -