Vol.4 No.2 (February 2014)
Consensus in Directed Networks with Boundary Function Quantized Information Communication
In this paper, the boundary function method is proposed for the coding scheme design to solve quantized problem of multi-agent system under a general unbalanced directed network. The multi-agent system can achieve weighted average consensus as long as the directed unbalanced network is strongly connected. Moreover, via choosing a generalized quadratic Lyapunov function, this paper analyzes the convergence of the system.
季亚雷 (2014) 基于边界函数量化信息通信的有向网络一致性。 计算机科学与应用， 4， 39-42. doi: 10.12677/CSA.2014.42008
 Carli, R., Bullo, F. and Zampieri, S. (2010) Quantized average consensus via dynamic coding/decoding schemes. International Journal of Robust and Nonlinear Control, 20, 156-175.
 Li, T., Fu, M.Y., Xie, L.H. and Zhang, J.-F. (2011) Distributed consensus with limited communication data rate. IEEE Transactions on Automatic Control, 56, 279-292.
 Bian, T. and Wang, Y.-W. (2012) Average consensus of multiagent systems under logarithm quantized communications. IEEE Control Automation Robotics & Visio, 46, 418-423.
 Li, D.Q., Liu, Q.P., Wang, X.F. and Lin, Z.L. (2013) Consensus seeking over directed networks with limited information communication. Automatica, 49, 610-618.
 Li, D.Q., Liu, Q.P., Wang, X.F. and Yin, Z.X. (2013) Quantized consensus over directed networks with switching topologies. System and Control Letters, Accepted.
 Li, T. and Xie, L. (2011) Distributed consensus over digital networks with limited bandwidth and time-varying topologies. Automatica, 47, 2006-2015.
 Wang, J. and Yan, Z. (2012) Coding scheme based on boundary function for consensus control of multi-agent system with timevarying topology. IET Control Theory Apply, 6, 1527-1535.
 Horn, R.A. and Johnson, C.R. (1985) Matrix analysis. Cambridge University Press, Cambridge, 33-57.