The optimal design for interaction topology of multi-agent systems
YUAN Wan-gui
QU Bai-da
Abstract：Based on graph theory, matrix theory and least square theory, the relationship is studied between the group consistency and the eigenvectors of Laplacian matrix associated with eigenvalue 0 for multi-agent systems. To obtain the consensus or group consistency, a design method for unidirectional information exchange topologies is provided based on the linear control protocol. The total energy is defined about the one-order multi-agent systems. And a optimal design is proposed so that the system energy is minimum. Simulation results are given to illustrate the effectiveness of theoretical results.
Keywords：multi-agent systemsconsensusgroup consistencyinteraction topologysystem energyoptimal design
Publication Date：2016-01-01
Online Publishing Date：2025-08-15(First online date of this platform, not the publication date of the document)
Pages：5( 228-232 )