4.7 Article

Matrix-weighted consensus and its applications

Journal

AUTOMATICA
Volume 89, Issue -, Pages 415-419

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.automatica.2017.12.024

Keywords

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Funding

  1. National Research Foundation (NRF) of Korea [NRF-2017R1A2B3007034]
  2. National Research Foundation of Korea [2017R1A2B3007034] Funding Source: Korea Institute of Science & Technology Information (KISTI), National Science & Technology Information Service (NTIS)

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This paper proposes the matrix-weighted consensus algorithm, which is a generalization of the consensus algorithm. Given a networked dynamical system where the interconnections between agents are weighted by nonnegative definite matrices, it is shown that consensus and clustering phenomena naturally exist. We examine algebraic and algebraic graph conditions for achieving a consensus. (C) 2017 Elsevier Ltd. All rights reserved.

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