TY - GEN
T1 - Achieving consensus and synchronization by adapting the network topology
AU - DeLellis, Pietro
AU - DiBernardo, Mario
AU - Porfiri, Maurizio
N1 - Funding Information:
⋆ This work was supported in part by the National Science Foundation under Grant CMMI-0745753.
PY - 2011
Y1 - 2011
N2 - In this paper, we present a novel control strategy for achieving consensus via network evolution. Namely, we associate to each edge a multi-dimensional dynamical system forced by the state mismatch of its nodes. We consider the case in which the network evolution is driven by a multi-well potential, whose wells define the possible asymptotic levels of interactions between each pair of nodes. We show that the proposed network evolution supports asymptotic consensus while leading to an emerging steady-state weighted topology. Moreover, we illustrate how a proper tuning of the potential parameters can be used to tailor the properties of this emerging topology. Finally, numerical simulations confirm the theoretical predictions as well as the viability of this approach for synchronizing nonlinear dynamical systems.
AB - In this paper, we present a novel control strategy for achieving consensus via network evolution. Namely, we associate to each edge a multi-dimensional dynamical system forced by the state mismatch of its nodes. We consider the case in which the network evolution is driven by a multi-well potential, whose wells define the possible asymptotic levels of interactions between each pair of nodes. We show that the proposed network evolution supports asymptotic consensus while leading to an emerging steady-state weighted topology. Moreover, we illustrate how a proper tuning of the potential parameters can be used to tailor the properties of this emerging topology. Finally, numerical simulations confirm the theoretical predictions as well as the viability of this approach for synchronizing nonlinear dynamical systems.
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U2 - 10.3182/20110828-6-IT-1002.02383
DO - 10.3182/20110828-6-IT-1002.02383
M3 - Conference contribution
AN - SCOPUS:84866748450
SN - 9783902661937
T3 - IFAC Proceedings Volumes (IFAC-PapersOnline)
SP - 1243
EP - 1248
BT - Proceedings of the 18th IFAC World Congress
PB - IFAC Secretariat
ER -