On consensus of nonlinear multi-agent systems under directed interaction topologies

CyberC 2009 - International Conference on Cyber-Enabled Distributed Computing and Knowledge Discovery

Volumn , Issue , 2009, Pages 128-131

  Shang, Yilun ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

Author keywords

Consensus problem; Graph laplacian; Multi agent system; Nonlinear protocol

Indexed keywords

CONSENSUS PROBLEMS; DIRECTED GRAPHS; GRAPH LAPLACIAN; INTERACTION GRAPHS; MERGING CONTROL; NUMERICAL EXAMPLE; SPANNING TREE; SPECTRAL GRAPH THEORY; THEORETICAL RESULT; UNDIRECTED GRAPH;

AUTONOMOUS AGENTS; COMPUTER SCIENCE; CONTROL THEORY; DYNAMICAL SYSTEMS; GRAPH THEORY; LAPLACE TRANSFORMS; NETWORK PROTOCOLS;

MULTI AGENT SYSTEMS;

EID: 72449157870     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CYBERC.2009.5342209     Document Type: Conference Paper

References (15)

1. U. Münz, A. Papachristodoulou and F. Allgöwer, "Nonlinear multi-agent system consensus with time-varying delays," Proc. 17th World Congress, the International Federation of Automatic Control, 2008 pp. 1522-1527
2. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proceedings of the IEEE, vol. 95, pp. 215-233, January 2007.
3. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520-1533, September 2004.
4. W. Ren and R. W. Beard, "Consensus seeking in multi-agent systems under dynamically changing interaction topologies," IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 655-661, May 2005.
5. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Shochet, "Novel type of phase transition in a system of self-driven particles," Physical Review Letters, vol. 75, no. 6, pp. 1226-1229, August 1995.
6. C. W. Wu, "Synchronization in networks of nonlinear dynamical systems coupled via a directed graph," Nonlinearity, vol. 18, no.3, pp.1057-1064, May 2005.
7. M. H. DeGroot, "Reaching a consensus," J. Am. Statistical Assoc., vol. 69, no. 345, pp. 118-121, 1974.
8. Y. Zheng, L. Shu, and Z. Lin, "Recent research and progress on consensus problem," System Engineering Theory and Practice, vol. 28, pp. 27-34, 2008.
9. T. Chen and Z. Zhu, "Exponential synchronization of nonlinear coupled dynamical networks," International Journal of Bifurcation and Chaos, vol. 17, no. 3, pp. 999-1005, March 2007.
10. X. Liu and T. Chen, "Consensus problems in networks of agents under nonlinear protocols with directed interaction topology," arXiv:0804.3628v1 [math.DS], 2008.
11. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science. Cambridge University Press, 2001.
12. C. Godsil and G. Royle, Algebraic Graph Theory. Spring, New York, 2001.
13. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge University Press, 1985.
14. J. R. Munkres, Topology. Prentice Hall, Upper Saddle River, New Jersey, 2000.
15. H. K. Khalil, Nonlinear Systems. Prentice Hall, Upper Saddle River, New Jersey, 2002.