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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.
Date of Conference: 6-8 April 2008