Abstract

In this paper, bipartite synchronization, as a distinctly important part of studying the Lur’e system, is investigated under quantized control. And the exchange relations are capable of being cooperative or competitive in these adjacent nodes. Put the case that the network remains balanced in structure. Simultaneously, bring some conditions and transformational criteria forward, which can reach synchronization results. The analysis results are based on Lyapunov stability theory, and simulation results can certificate validness of theoretical analysis.

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