부산대학교 도서관

In this study, the bipartite consensus problem of second-order system based on impulsive control in signed network is studied. Based on the sampling information, a control method is proposed, it is controlled by pulses. The matrix theory is used to analyze the designed impulsive control protocol, when the communication diagram is strongly connected, the sufficient and necessary conditions for the system to achieve the bipartite consensus and state stability are deduced. The results show, when the appropriate sampling period and control gain are selected, when the system is the structurally balanced, the system can achieve the bipartite consensus; when the system is the structurally unbalanced, the system can achieve state stability. In addition, simulation examples are used to verify the accuracy of the designed control protocol.