Title :
The consensus protocol for multi-agent systems based on the algebraic connectivity
Author :
Tan, Fuxiao ; Guan, Xinping ; Liu, Derong
Author_Institution :
Yanshan Univ., Qinhuangdao
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.
Keywords :
continuous time systems; convergence; directed graphs; eigenvalues and eigenfunctions; matrix algebra; multi-agent systems; stability; algebraic connectivity; communication topology eigenvalue; consensus protocol; continuous-time integrator agent dynamics system; convergence problem; direct graph Laplacian matrix theory; stability analysis; time invariant multiagent continuous system; Autonomous agents; Convergence; Eigenvalues and eigenfunctions; Graph theory; Information analysis; Laplace equations; Multiagent systems; Protocols; Stability analysis; Topology;
Conference_Titel :
Networking, Sensing and Control, 2008. ICNSC 2008. IEEE International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-1-4244-1685-1
Electronic_ISBN :
978-1-4244-1686-8
DOI :
10.1109/ICNSC.2008.4525231
