In Chap. 8, a class of fluctuation behaviors has been investigated for switching signed networks, which is revealed under the joint quasi-strong connectivity condition of their related switching signed digraphs. A further question is: whether may more complex disagreement behaviors, especially the fluctuation behaviors, emerge when more general topology conditions than the joint quasi-strong connectivity condition are taken into account? To answer this question, the current chapter explores the disagreement behaviors of general switching signed networks without any specific connectivity properties. An extended leader–follower framework is established to present a new rule for distinguishing the union leaders and the union followers, under which a class of new fluctuation behaviors, named “leader-contained fluctuation,” is identified. It is shown that for any switching signed networks, the union leaders always converge, whereas the union followers generally may not converge but fluctuate within an interval spanned by the converged states of all union leaders and their symmetric states. In particular, the union leaders are divided into clusters, and for each cluster, the union leaders are ensured to realize either uniform bipartite consensus or uniform asymptotic stability, which is correspondingly tied to the simultaneous structural balance or unbalance of its related switching signed digraph. Note that the developed leader-contained fluctuation result is applicable for any switching signed networks, regardless of the connectivity, structural balance, or digon sign-symmetry properties of their related signed digraphs. An illustrative example is presented to demonstrate the observed leader-contained fluctuation behaviors of switching signed networks.


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    Title :

    Leader-Contained Fluctuation


    Additional title:

    Intelligent Control & Learning Systems


    Contributors:
    Meng, Deyuan (author) / Du, Mingjun (author) / Wu, Yuxin (author)


    Publication date :

    2022-12-03


    Size :

    20 pages





    Type of media :

    Article/Chapter (Book)


    Type of material :

    Electronic Resource


    Language :

    English




    LEADER

    Online Contents | 1994


    LEADER

    Online Contents | 1994


    LEADER

    Online Contents | 1994


    Leader

    Online Contents | 1994


    LEADER

    Online Contents | 1994