On the 2R conjecture for multi-agent systems

2007 European Control Conference, ECC 2007

Volumn , Issue , 2007, Pages 874-881

  Blondel, Vincent D ^a   Hendrickx, Julien M ^a   Tsitsiklis, John N ^b  

^a UNIVERSITÉ CATHOLIQUE DE LOUVAIN   (Belgium)

^b MASSACHUSETTS INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMICS;

CENTRAL OBSERVATIONS; CONTINUOUS MODELING; DYNAMICAL MODEL; EQUILIBRIUM STABILITY; INFINITE INTERVAL; NUMERICAL EVIDENCE; OPINION DYNAMICS; SYSTEM BEHAVIORS;

MULTI AGENT SYSTEMS;

EID: 84927726158     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2007.7068885     Document Type: Conference Paper

References (16)

1. V. D. Blondel, J. M. Hendrickx, A. Olshevsky, and J. N. Tsitsiklis. Convergence in multiagent coordination, consensus, and flocking. In Proc. of the 44th IEEE Conference on Decision and Control CDC'2005, pages 2996-3000, Seville, Spain, December 2005.
2. V. D. Blondel, J. M. Hendrickx, and J. N. Tsitsiklis. On the 2R conjecture for multi-agent systems. Technical Report
3. F. Cucker and S. Smale. Emergent behavior in flocks. preprint, 2005.
4. G. Deffuant, D. Neau, F. Amblard, and G. Weisbuch. Mixing beliefs among interacting agents. Advances in Complex Systems, 3:87-98, 2000.
5. J. M. Hendrickx and V. D. Blondel. Convergence of different linear and non-linear vicsek models. In Proceedings of the 17th International Symposium on Mathematical Theory of Networks and Systems (MTNS2006), pages 1229-1240, Kyoto, Japan, July 2006.
6. A. Jadbabaie, J. Lin, and A. S. Morse. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Automat. Control, 48(6):988-1001, 2003.
7. E. W. Justh and P. S. Krishnaprasad. Equilibria and steering laws for planar formations. Systems and Control Letters, 52(1):25-38, 2004.
8. U. Krause. Soziale dynamiken mit vielen interakteuren. eine problemskizze. In Modellierung und Simulation von Dynamiken mit vielen interagierenden Akteuren, pages 37-51. 1997.
9. U. Krause. A discrete nonlinear and non-autonomous model of consensus formation. Communications in Difference Equations, pages 227-236, 2000.
10. J. Lin, A. S. Morse, and B. D. O. Anderson. The multi-agent rendezvous problem. In Proc. of the 42th IEEE Conference on Decision and Control CDC'2003, pages 1508-1513, Hawaii (HA), USA, December 2003.
11. J. Lorenz. A stabilization theorem for continuous opinion dynamics. Physica A, 355(1):217-223, 2005.
12. J. Lorenz. Consensus strikes back in the Hegselmann-Krause model of continuous opinion dynamics under bounded confidence. Journal of Artificial Societies and Social Simulation, 9(1):http://jasss. soc. surrey. Ac. uk/9/1/8. html, 2006.
13. L. Moreau. Stability of multiagent systems with time-dependent communication links. IEEE Trans. Automat. Control, 50(2):169-182, 2005.
14. R. Olfati-Saber, J. A. Fax, and R. M. Murray. Consensus and cooperation in networked multi-agent systems. Proceedings of the IEEE, 95(1):215-233, 2007.
15. J. N. Tsitsiklis. Problems in decentralized decision making and computation. PhD thesis, Dept. of Electrical Engineering and Computer Science, Massachusetts Institute of Technology, http://web. mit. edu/jnt/www/PhD-84-jnt. pdf, 1984.
16. T. Vicsek, A. Czirok, I. Ben Jacob, I. Cohen, and O. Schochet. Novel type of phase transitions in a system of self-driven particles. Phys. Rev. Lett., 75:1226-1229, 1995.