期刊论文

Liu, Hongliang

英文

Applied Mathematics Letters

0893-9659

2020

99

105973

10.1016/j.aml.2019.07.004

This work is partially supported by the Hunan Natural Science Fund Youth Fund Project (No. 2018JJ3419), the Scientific Research Foundation of Hunan Provincial Education Department (Nos. 17C1362, 17C1364) and supported by the Doctoral Funds of USC (Nos. 2016XQD40, 2016XQD42). ☆ This work is partially supported by the Hunan Natural Science Fund Youth Fund Project (No. 2018JJ3419), the Scientific Research Foundation of Hunan Provincial Education Department (Nos. 17C1362, 17C1364) and supported by the Doctoral Funds of USC (Nos. 2016XQD40, 2016XQD42).

本校为第一且通讯机构

This work focuses on the fixed-time bipartite flocking control problem for multi-agent systems. By employing the structurally balanced signed graph theory and a fixed-time stability theorem, we can prove that all individuals can be partitioned into two disjoint clusters within a fixed time and they move to opposite directions with the same velocity. We find that the settling time merely depends on the parameters and network connectivity. Moreover, the parameters, network connectivity and the initial states have an important influence on the diameter of each disjoint cluster. The results are no...