TY - GEN
T1 - Probabilistic consensus in Markovian multi-agent networks
AU - Bolzern, Paolo
AU - Cerotti, Davide
AU - Colaneri, Patrizio
AU - Gribaudo, Marco
N1 - Publisher Copyright:
© 2014 EUCA.
PY - 2014/7/22
Y1 - 2014/7/22
N2 - This paper addresses the probabilistic consensus problem in a network of Markovian agents. The dynamics of each agent ismodeled as a finite-state Markov chain, with transition rates that are affected by the communication with the neighbors, so inducing an emulation effect. Consensus is reached when all the agent probability vectors converge to a common steady-state probability vector. The main result of the paper is the proof of consensus for communication networks described by either a complete graph or a star-topology graph. These results are also important in a network control perspective, as some parameters of the network model could be used as tuning knobs to steer the steady-state consensus wherever desired.
AB - This paper addresses the probabilistic consensus problem in a network of Markovian agents. The dynamics of each agent ismodeled as a finite-state Markov chain, with transition rates that are affected by the communication with the neighbors, so inducing an emulation effect. Consensus is reached when all the agent probability vectors converge to a common steady-state probability vector. The main result of the paper is the proof of consensus for communication networks described by either a complete graph or a star-topology graph. These results are also important in a network control perspective, as some parameters of the network model could be used as tuning knobs to steer the steady-state consensus wherever desired.
UR - http://www.scopus.com/inward/record.url?scp=84911497271&partnerID=8YFLogxK
U2 - 10.1109/ECC.2014.6862254
DO - 10.1109/ECC.2014.6862254
M3 - Conference contribution
AN - SCOPUS:84911497271
T3 - 2014 European Control Conference, ECC 2014
SP - 558
EP - 563
BT - 2014 European Control Conference, ECC 2014
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 13th European Control Conference, ECC 2014
Y2 - 24 June 2014 through 27 June 2014
ER -