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Decentralized stabilizability and formation control of multi-agent systems with antagonistic interactions
Xianzhu Liu1, Zhijian Ji2, Ting Hou3
1Institute of Complexity Science, School of Automation, Qingdao University, Qingdao, 266071, PR China; School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, PR China.
Abstract:
This paper studies the stabilizability and formation control problems of multi-agent systems with antagonistic interactions. The agents run a bipartite consensus protocol using a signed Laplacian which is different from the conventional one. By taking advantage of the proposed structurally balanced independent strongly connected components(SBiSCCs) of the signed graph, a sufficient and necessary condition is presented to solve the decentralized stabilizability problem of multi-agent systems with antagonistic interactions. Besides, formation control is considered and the sufficient and necessary condition is provided by applying the proposed results. Several simulations are given to illustrate the theoretical results.
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