Consensus of discrete-time multi-agent systems with nonlinear local rules and time-varying delays

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2009, Pages 7018-7023

  Chen, Yao ^a   Lü, Jinhu ^a   Lin, Zongli ^b  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b UNIVERSITY OF VIRGINIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AUTONOMOUS AGENTS; TIME DELAY; TIME VARYING CONTROL SYSTEMS;

AUTONOMOUS ENTITIES; DISCRETE TIME; LOCAL INTERACTIONS; LOCAL RULES; SOFTWARE PROGRAM; TIME VARYING- DELAYS; VICSEK MODELS;

MULTI AGENT SYSTEMS;

EID: 77950796601     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2009.5400490     Document Type: Conference Paper

References (16)

1. T. Vicsek, A. Czirok, E. Ben-Jacob, I. Cohen, and O. Shochet, "Novel type of phase transition in a system of self-propelled particles," Phys. Rev. Lett., vol 75, pp. 1226-1229, 1995.
2. A. Jadbabie, J. Lin, and A.S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Automat. Contr., vol.48, no.6, pp. 988-1001, 2003.
3. S. Li and H. Wang, "Multi-agent coordination using nearest-neighbor rules: revisiting the Vicsek model," arXiv:cs/0407021.
4. Q. Li and Z. Jiang, "Relaxed conditions for consensus in multi-agent coordinaition," J. Syst. Sci. Complexity, vol.21, pp. 347-361, 2008.
5. Z. Liu and L. Guo, "Connectivity and synchronization of Vicsek model," Science in China Ser. F, vol.37, pp. 979-988, 2007.
6. J.M. Hendricx and V.D. Blondel, "Convergence of different linear and non-linear Vicsek models," Proc. the 17th Int. Symposium Math. Theor. Net. Syst., Kyoto, Japan, pp. 1229-1240, 2006.
7. W. Ren and R.W. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Automat. Contr., vol.50, no.5, pp. 655-661, 2005.
8. V.D. Blondel, J.M. Hendrickx, A. Olshevsky, and J.N. Tsitsiklis, "Convergence in multiagent coordination, consensus, and flocking," Proc. the 44th IEEE Conf. Decision Contr. and Europ. Contr. Conf. 2005, Seville, Spain, pp. 2996-3000, 2005.
9. A.V. Savkin, "Coordination collective motion of groups of autonomous mobile robots: Analysis of Vicsek's model," IEEE Trans. Automat. Contr., vol.49, no.6, pp. 981-983, 2004.
10. M. Cao and A.S. Morse, and B.D.O. Anderson, "Agreeing Asynchronously," IEEE Trans. Automat. Contr., vol.53, no.8, pp. 1826-1838, 2008.
11. F. Xiao and L. Wang, "Asynchronus consensus in continuous-time multi-agent systems with switching topology and time-varying delays," IEEE Trans. Automat. Contr., vol.53, no.8, pp. 1804-1816, 2008.
12. J. Wolfowitz, "Products of indecomposable, aperiodic, stochastic matrices," Proc. Amer. Math. Soc., vol.15, pp. 733-737, 1963.
13. R.A. Horn and C.R. Johnson, Matrix Analysis, Cambridge, UK: Cambridge Univ. Press, 1986.
14. J. Lü, J. Liu, I.D. Couzin, and S.A. Levin, "Emerging collective behaviors of animal groups," Proc. the 7th World Congr. Contr. Automation, Chongqing, China, pp. 1060-1065, 2008.
15. J. Lü and G. Chen, "A time-varying complex dynamical network models and its controlled synchronization criteria," IEEE Trans. Automat. Contr., vol.50, no.6, pp. 841-846, 2005.
16. A. Olshevsky, J.N. Tsitsiklis, "On the Nonexistence of Quadratic Lyapunov Function for Consensus Algorithms," IEEE Trans. Automat. Contr., vol.53, no.11, pp. 2642-2645, 2008.