Abstract

AbstractThe discrete-time bipartite consensus problem under signed network with saturation constraints is investigated. With the information of neighbors, a distributed control protocol is given. By the properties of the signed digraph, a model transformation is given. With the help of model transformation, the discrete bipartite consensus issue is converted into a discrete stability issue. By the Lyapunov stability theory, the discrete stability issues of the corresponding system are demonstrated. Through numerical simulation examples, we prove the validity of our results.KeywordsDiscrete-timeUndirected graphBipartite consensusSaturation constraintsSigned networkStructural balance

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