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On the convergence domain in the differential model of reaching a consensus

  • Large Scale Systems Control
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Abstract

This paper considers the continuous-time coordination model of certain characteristics in multiagent systems, where the corresponding Laplace matrix is diagonalizable and has zero prime eigenvalue. We demonstrate that, similarly to the discrete-time coordination model, the matrix expressing the limit solution of the system of differential equations meeting the initial conditions represents the eigenprojector of the Laplace matrix.

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Authors and Affiliations

  1. Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

    R. P. Agaev

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  1. R. P. Agaev
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Correspondence to R. P. Agaev.

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Original Russian Text © R.P. Agaev, 2012, published in Upravlenie Bol’shimi Sistemami, 2012, No. 36, pp. 81–92.

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Agaev, R.P. On the convergence domain in the differential model of reaching a consensus. Autom Remote Control 75, 563–569 (2014). https://doi.org/10.1134/S0005117914030126

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  • DOI: https://doi.org/10.1134/S0005117914030126

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