Stabilizability and Bipartite Containment Control of Multi-agent Systems over Signed Directed Graphs

Shiming Chen, Zhengang Xia, Huiqin Pei
2020 IEEE Access  
This paper investigates the stabilizability and bipartite containment control problem of general linear multi-agent systems over signed directed graphs, where the negative edges indicate the antagonistic interactions between agents. By employing the proposed bipartite containment control protocols over signed directed graphs, and combining the linear system stabilization theory and the signed Laplacian matrix, the necessary condition for the stabilization of multi-agent systems with multiple
more » ... ders is discussed. According to this necessary condition, a leader-follower matching method is presented to establish leaderfollower multi-agent system networks. Based on the leader-follower topology established above and the designed state feedback gain, the stability of multi-agent systems is proved by using the system error and the algebraic Riccati equation. It is shown that the followers can gradually converge into the convex hull spanned by the states and the sign-inverted states of leaders, and the bipartite containment control of multiagent systems can be realized. The simulation results verify the feasibility of the theoretical analysis. INDEX TERMS Multi-agent systems, controlled followers selection, stabilization, bipartite containment control. VOLUME 8, 2020 This work is licensed under a Creative Commons Attribution 4.0 License. For more information, see http://creativecommons.org/licenses/by/4.0/
doi:10.1109/access.2020.2975894 fatcat:pr5n7q4pdjh5ld5kkh26glz6c4