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
PublisherIFAC Secretariat
Pages1243-1248
Number of pages6
Edition1 PART 1
ISBN (Print)9783902661937
DOIs
StatePublished - 2011

Publication series

NameIFAC Proceedings Volumes (IFAC-PapersOnline)
Number1 PART 1
Volume44
ISSN (Print)1474-6670

ASJC Scopus subject areas

  • Control and Systems Engineering

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  • 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 (1 PART 1 ed., pp. 1243-1248). (IFAC Proceedings Volumes (IFAC-PapersOnline); Vol. 44, No. 1 PART 1). IFAC Secretariat. https://doi.org/10.3182/20110828-6-IT-1002.02383