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| Bipartite Consensus of Dynamic-Edge Multi-Agent Systems with Time-Delay |
| LI Yingzhen, JI Zhijian, LIU Shuai, YANG Yilong
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| School of automation, Qingdao university, Qingdao 266071, China |
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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.
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Received: 05 July 2019
Published: 21 January 2020
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