Conference Proceedings

Consensus value estimates in time-varying and directed networks

Samuel Martin, Irinel-Constantin Morarescu, Dragan Nesic

2017 IEEE 56TH ANNUAL CONFERENCE ON DECISION AND CONTROL (CDC) | IEEE | Published : 2017

Abstract

The paper provides consensus value estimates in multi-Agent systems with directed and time-varying interaction networks. First, we prove general results regarding the asymptotic consensus value which is obtained as a convex combination of the initial states. It is shown that the cutbalance assumption guarantees a strictly positive lower bound on the convex combination components. This means that each agent plays a non vanishing role in the asymptotic consensus value. Second, we analyze the case where interaction weights vary uniformly over time. Finally, we study the effect of time-vanishing perturbations on the systems with uniform variation of the interaction weights. We show that the conv..

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Grants

Awarded by project Computation Aware Control Systems (COMPACS) - ANR


Awarded by Australian Research Council


Funding Acknowledgements

The work of S. Martin and I.-C. Morarescu was supported by project PEPS MoMIS MADRES and PEPS INS2I CONAS funded by the CNRS and project Computation Aware Control Systems (COMPACS), ANR-13-BS03-004 funded by ANR. The work of D. Nesic was supported by the Australian Research Council under the Discovery Project DP1094326.