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

  • Authors:
  • R. P. Agaev

  • Affiliations:
  • Trapeznikov Institute of Control Sciences, Russian Academy of Sciences, Moscow, Russia

  • Venue:
  • Automation and Remote Control
  • Year:
  • 2014

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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.