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| Controllability of Multi-agent Systems with Cells of Equal Capacity |
| LIU Mengmeng, JI Zhijian, LIU Yungang, LIN Chong
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| School of Automation, Qingdao University,Qingdao 266071, China |
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Abstract This paper aims to investigate the controllability of multi-agent systems with cells of equal capacity. Firstly, based on the equipotential nodes within cells of equal capacity, a distinction is made between equipotential nodes and automorphic nodes, revealing that equipotential nodes extend automorphic nodes. Secondly, by selecting equipotential nodes and non-equipotential nodes as leaders, the controllability of the system is analyzed, and a novel leader selection method based on the number of cells of equal capacity is proposed. Finally, by analyzing the Laplacian matrix, the relationship between its rank and the topological structure is revealed. The research results demonstrate that the proposed leader selection method can effectively enhance the controllability of the system.
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Received: 15 March 2023
Published: 27 April 2025
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