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    Bipartite Consensus

    Bipartite Consensus


    This chapter investigates the disagreement behavior analysis problem for fixed signed networks in the presence of strongly connected topologies. Since of our specific interest is the Laplacian-type dynamic flow of agents, we resort to the Laplacian matrices of signed digraphs, and leverage an M-matrix-based analysis approach to arrive at that their semi-positive and positive stabilities can be, respectively, tied to the structural balance and unbalance properties even in the absence of the digon sign-symmetry assumption. Furthermore, we reveal a fact that for any strongly connected signed network, the bipartite consensus (respectively, stability) can be realized if and only if its associated signed digraph is structurally balanced (respectively, unbalanced). Simulations are also included to illustrate the convergence behaviors observed for strongly connected signed networks.

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    Titel :

    Bipartite Consensus

    Weitere Titelangaben:

    Intelligent Control & Learning Systems

    Beteiligte:
    Meng, Deyuan (Autor:in) / Du, Mingjun (Autor:in) / Wu, Yuxin (Autor:in)
    Erschienen in:

    Disagreement Behavior Analysis of Signed Networks ; Kapitel : 3 ; 33-48

    Intelligent Control and Learning Systems ; 5

    Erscheinungsdatum :

    2022-12-03

    Format / Umfang :

    16 pages

    ISBN :

    978-981-19-5530-3 , 978-981-19-5529-7

    ISSN :

    2662-5466 , 2662-5458

    DOI :

    https://doi.org/10.1007/978-981-19-5530-3_3

    Medientyp :

    Aufsatz/Kapitel (Buch)

    Format :

    Elektronische Ressource

    Sprache :

    Englisch

    Schlagwörter :

    Engineering , Control and Systems Theory , Sociology, general , Systems Theory, Control , Mathematics and Statistics

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