Quasi-Interval Bipartite Consensus Problems on Discrete-Time Signed Networks
In this paper, discrete-time signed networks with cooperative and antagonistic interactions are considered in the presence of time-varying topologies. A separation approach is proposed such that the cooperations and antagonisms can be clearly distinguished. It is shown that given the repeated joint strong connectivity, signed networks can achieve bipartite consensus (respectively, stability) if and only if the repeated joint structural balance (respectively, unbalance) are ensured. Furthermore, when only joint spanning tree condition is satisfied, quasi-interval bipartite consensus (respectively, stability) holds if and only if the repeated joint structural balance (respectively, unbalance) can be guaranteed for the signed digraphs formed by only these joint root nodes. The simulation tests are included to verify the effectiveness of our obtained results.
KeywordsDiscrete-timedynamics Signed networks Time-varying topology Repeated joint structural balance
This work was supported in part by the National Natural Science Foundation of China (61873013, 61473010, 61473015, 61520106010), in part by the Beijing Natural Science Foundation (4162036), and in part by the Fundamental Research Funds for the Central Universities.
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