Reverse Group Consensus of Second-Order Multi-Agent Systems With Delayed Nonlinear Dynamics in the Cooperation–Competition Networks

This paper studies the reverse group consensus problem for second-order multi-agent systems with delayed nonlinear dynamics and intermittent communication in the cooperation-competition networks. It is assumed that each agent is assumed to share information only with its neighbors on some disconnected time intervals, a new kind of adaptive intermittent control protocol is proposed without in-degree balance condition, the results show the reverse group consensus can be achieved if the mirror graph is connected, and the communication time duration is larger than their corresponding threshold values, respectively. Finally, the two simulation examples are provided to demonstrate the effectiveness of the obtained theoretical results.