The consensus protocol for multi-agent systems based on the algebraic connectivity
Fuxiao Tan, Xinping Guan, Derong Liu
Abstract
Fuxiao Tan, Xinping Guan, Derong Liu
Abstract
The paper studies the consensus protocol of the time invariant multi-agent continuous systems. Based on the direct graph Laplacian matrix theory and it's the second smallest eigenvalue of communication topology, we study the continuous-time integrator agents dynamics system. The issue of stability of the systems is analyzed and the convergence problem of the information states is also discussed. Two examples are presented to show the effectiveness of the results of this paper.
A significance statement is not available in the OpenAlex record.
A contribution statement is not available in the OpenAlex record.
Method details are not available in the OpenAlex metadata.
Findings are not separately available in the OpenAlex metadata.
Limitations are not available in the OpenAlex metadata.
Application details are not available in the OpenAlex metadata.
The paper studies the consensus protocol of the time invariant multi-agent continuous systems. Based on the direct graph Laplacian matrix theory and it's the second smallest eigenvalue of communication topology, we study the continuous-time integrator agents dynamics system. The issue of stability of the systems is analyzed and the convergence problem of the information states is also discussed. Two examples are presented to show the effectiveness of the results of this paper.
Key concepts: Algebraic graph theory, Algebraic connectivity, Laplacian matrix, Multi-agent system, Convergence (economics), Eigenvalues and eigenvectors, Computer science, Protocol (science)