On topology and dynamics of consensus among linear high-order agents
作者： Peter Wieland , Jung-Su Kim , Frank Allgöwer
DOI: 10.1080/00207721003658202
关键词: Multi-agent system 、 Uniform consensus 、 Linear model 、 Voltage graph 、 Dynamical systems theory 、 Laplacian matrix 、 Multiprocessor interconnection 、 Graph 、 Mathematics 、 Topology
摘要: Consensus of a group agents in multi-agent system with and without leader is considered. All are modelled by identical linear n-th order dynamical systems while the leader, when it exists, may evolve according to different model same order. The interconnection topology between as directed weighted graph. We provide answers questions whether converges consensus what value eventually reaches. To that end, we give detailed analysis relevant algebraic properties graph Laplacian. Furthermore, propose an LMI-based design for general case.
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sci-hub.se 参考文章(27)
B.A. Francis, W.M. Wonham, Paper: The internal model principle of control theory Automatica. ,vol. 12, pp. 457- 465 ,(1976) , 10.1016/0005-1098(76)90006-6
Christopher David Godsil, Gordon Royle, Algebraic Graph Theory ,(2009)
Roger A. Horn, Charles R. Johnson, Matrix Analysis Cambridge University Press. ,(1985) , 10.1017/CBO9780511810817
Wei Ren, K. Moore, YangQuan Chen, High-Order Consensus Algorithms in Cooperative Vehicle Systems international conference on networking, sensing and control. pp. 457- 462 ,(2006) , 10.1109/ICNSC.2006.1673189
A.-L. Barabasi, Network Theory--the Emergence of the Creative Enterprise Science. ,vol. 308, pp. 639- 641 ,(2005) , 10.1126/SCIENCE.1112554
Miroslav Fiedler, Algebraic connectivity of graphs Czechoslovak Mathematical Journal. ,vol. 23, pp. 298- 305 ,(1973) , 10.21136/CMJ.1973.101168
Wei Ren, Randal W Beard, Ella M Atkins, Information consensus in multivehicle cooperative control IEEE Control Systems Magazine. ,vol. 27, pp. 71- 82 ,(2007) , 10.1109/MCS.2007.338264
Wei Ren, Multi-vehicle consensus with a time-varying reference state Systems & Control Letters. ,vol. 56, pp. 474- 483 ,(2007) , 10.1016/J.SYSCONLE.2007.01.002
Wenlian Lu, Tianping Chen, Synchronisation in complex networks of coupled systems with directed topologies International Journal of Systems Science. ,vol. 40, pp. 909- 921 ,(2009) , 10.1080/00207720802645238
Yuan Gong Sun, Long Wang, Guangming Xie, Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays Systems & Control Letters. ,vol. 57, pp. 175- 183 ,(2008) , 10.1016/J.SYSCONLE.2007.08.009