Achieving consensus and synchronization by adapting the network topology

Pietro DeLellis, Mario DiBernardo, Maurizio Porfiri

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

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.

Original languageEnglish (US)
Title of host publicationProceedings of the 18th IFAC World Congress
Pages1243-1248
Number of pages6
Volume18
EditionPART 1
DOIs
StatePublished - 2011
Event18th IFAC World Congress - Milano, Italy
Duration: Aug 28 2011Sep 2 2011

Other

Other18th IFAC World Congress
CountryItaly
CityMilano
Period8/28/119/2/11

Fingerprint

Synchronization
Topology
Nonlinear dynamical systems
Dynamical systems
Tuning
Computer simulation

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

DeLellis, P., DiBernardo, M., & Porfiri, M. (2011). Achieving consensus and synchronization by adapting the network topology. In Proceedings of the 18th IFAC World Congress (PART 1 ed., Vol. 18, pp. 1243-1248) https://doi.org/10.3182/20110828-6-IT-1002.02383

Achieving consensus and synchronization by adapting the network topology. / DeLellis, Pietro; DiBernardo, Mario; Porfiri, Maurizio.

Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. p. 1243-1248.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

DeLellis, P, DiBernardo, M & Porfiri, M 2011, Achieving consensus and synchronization by adapting the network topology. in Proceedings of the 18th IFAC World Congress. PART 1 edn, vol. 18, pp. 1243-1248, 18th IFAC World Congress, Milano, Italy, 8/28/11. https://doi.org/10.3182/20110828-6-IT-1002.02383
DeLellis P, DiBernardo M, Porfiri M. Achieving consensus and synchronization by adapting the network topology. In Proceedings of the 18th IFAC World Congress. PART 1 ed. Vol. 18. 2011. p. 1243-1248 https://doi.org/10.3182/20110828-6-IT-1002.02383
DeLellis, Pietro ; DiBernardo, Mario ; Porfiri, Maurizio. / Achieving consensus and synchronization by adapting the network topology. Proceedings of the 18th IFAC World Congress. Vol. 18 PART 1. ed. 2011. pp. 1243-1248
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