Brief paper: Second-order consensus in multi-agent dynamical systems with sampled position data

摘要: This paper studies second-order consensus in multi-agent dynamical systems with sampled position data. A distributed linear protocol dynamics is designed, where both the current and some past data are utilized. It found that such a system cannot be reached without any under given while it can achieved by appropriately choosing sampling period. necessary sufficient condition for reaching of this setting established, based on which regions then characterized. shown if all eigenvalues Laplacian matrix real, period except at critical points depending spectrum matrix. However, there exists least one eigenvalue nonzero imaginary part, sufficiently small or large periods. In cases, nevertheless may able to find disconnected stable determined appropriate Finally, simulation examples verify illustrate theoretical analysis.