Positive edge consensus of multiagent systems on directed graphs

ZHANG Pengyu; ZHANG Wei; HU Zhi

doi:10.12299/jsues.23-0197

Volume 38 Issue 3

Sep. 2024

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Article Navigation > Journal of Shanghai University of Engineering Science > 2024 > 38(3): 321-327

ZHANG Pengyu, ZHANG Wei, HU Zhi. Positive edge consensus of multiagent systems on directed graphs[J]. Journal of Shanghai University of Engineering Science, 2024, 38(3): 321-327. doi: 10.12299/jsues.23-0197

Citation:

ZHANG Pengyu, ZHANG Wei, HU Zhi. Positive edge consensus of multiagent systems on directed graphs[J]. Journal of Shanghai University of Engineering Science, 2024, 38(3): 321-327. doi: 10.12299/jsues.23-0197

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Positive edge consensus of multiagent systems on directed graphs

doi: 10.12299/jsues.23-0197

Laboratory of Intelligent Control and Robotics, Shanghai University of Engineering Science, Shanghai 201620, China

Received Date: 2023-09-15
Available Online: 2024-11-14
Publish Date: 2024-09-30

Abstract

Abstract

Most of the existing literature on the problem of positive edge consensus of multi-agent systems has mainly focused on undirected graphs or strongly connected directed graphs. To extend it to the directed networks containing spanning trees, since the Laplacian matrix of a directed network containing spanning trees may be complex, its analysis may become very difficult. Using positive system theory and graph theory, the necessary and sufficient conditions for edge system to achieve positive consensus under a directed network containing spanning trees were given. The results were further optimized by improving the bounds on the eigenvalues of the Laplace matrix, sufficient conditions involving only the number of edge number of the nodal network were obtained. Riccati inequality was solved and a semidefinite programming algorithm was developed to obtain the solution. Finally, the validity of the obtained results was verified by numerical simulation.
- multi-agent systems,
- directed spanning tree,
- positive edge consensus

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References(17)

References

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