Abstract：For the bipartite consensus problems of first-order and second-order multi-agent systems, we design a consensus protocol based on the edge dynamic to make the system achieve edge dynamic bipartite consensus. With the help of line graph and equivalent transformation, the sufficient conditions for achieving edge dynamic bipartite consensus of first-order and second-order multi-agent systems under directed graph without time-delay are obtained. Furthermore, non-uniform communication time-delay is added to the protocol. Lyapunov asymptotic stability theorem is used to obtain the sufficient conditions that first-order and second-order multi-agent systems under directed graph with time-delay that reach edge dynamic bipartite consensus. Finally, using Matlab to simulate the example, the rationality of the conclusion is verified.
李英桢, 纪志坚, 刘帅, 杨仪龙. 含时滞多智能体系统的边动态二分一致性[J]. 复杂系统与复杂性科学, 2019, 16(4): 19-30.
LI Yingzhen, JI Zhijian, LIU Shuai, YANG Yilong. Bipartite Consensus of Dynamic-Edge Multi-Agent Systems with Time-Delay. Complex Systems and Complexity Science, 2019, 16(4): 19-30.
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