State synchronization in local-interaction networks is robust with respect to time delays

Proceedings of the 44th IEEE Conference on Decision and Control, and the European Control Conference, CDC-ECC '05

Volumn 2005, Issue , 2005, Pages 4945-4950

  Tanner, Herbert G ^a   Christodoulakis, Dimitrios K ^a  

^a University of New Mexico   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DELAYED DYNAMICS; LOCAL-INTERACTION NETWORKS; NEAREST-NEIGHBOR RULES; NON-NEGATIVE MATRICES; TRANSITION MATRIX;

DELAY CONTROL SYSTEMS; LOGIC PROGRAMMING; MULTI AGENT SYSTEMS; ROBUSTNESS (CONTROL SYSTEMS); SYNCHRONIZATION;

INTERCONNECTION NETWORKS;

EID: 33746234423     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582945     Document Type: Conference Paper

References (23)

1. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Automat. Contr., vol. 48, pp. 988-1001, June 2003.
2. Z. Lin, M. Broucke, and B. Francis, "Local control strategies for groups of mobile autonomous agents," IEEE Transactions on Automatic Control, vol. 49, no. 4, pp. 622-629, April 2004.
3. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, "Stable flocking of mobile agents, Part I: Fixed topology," in Proceedings of the IEEE Conference on Decision and Control, Maui, Hawaii, December 9-12 2003, pp. 2010-2015.
4. J. Cortes, S. Martinez, T. Karatas, and F. Bullo, "Coverage control for mobile sensing networks," IEEE Transactions on Robotics and Automation, vol. 20, no. 2, pp. 243-255, April 2004.
5. A. Pikovsky, M. Rosenblum, and J. Kurths, Synchronization: A Universal Concept in Nonlinear Science, ser. Cambridge Nonlinear Science. Cambridge University Press, 2002.
6. C. Reynolds, "Flocks, birds, and schools: a distributed behavioral model," Computer Graphics, vol. 21, pp. 25-34, 1987.
7. T. Vicsek, A. Czirok, E. B. Jacob, I. Cohen, and O. Schochet, "Novel type of phase transitions in a system of self-driven particles," Physical Review Letters, vol. 75, pp. 1226-1229, 1995.
8. Y. Liu, K. M. Passino, and M. M. Polycarpou, "Stability analysis of m-dimensional asynchronous swarms with a fixed communication topology," IEEE Trans. Automat. Contr., vol. 48, pp. 76-95, Jan. 2003.
9. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, "Flocking in fixed and switching networks," Automatica, July 2003, (submitted).
10. _, "Flocking in teams of nonholonomic agents," in Cooperative Control, ser. Lecture Notes in Control and Information Sciences, S. Morse, N. Leonard, and V. Kumar, Eds. Springer, 2004, pp. 229-239.
11. N. E. Leonard and E. Fiorelli, "Virtual leaders, artificial potentials and coordinated control of groups," in Proc. IEEE 40th Conf. Decision and Control, Orlando, Florida, Dec. 2001, pp. 2968-2973.
12. S. H. Strogatz, "From Kuramoto to Crawford: exploring the onset of synchronization in populations of coupled oscillators," Physica D, vol. 143, pp. 1-20, 2000.
13. A. Jadbabaie, N. Motee, and M. Barahona, "On the stability of the kuramoto model of coupled nonlinear oscillators," in Proceedings of the IEEE American Control Conference, Boston, MA, July 2004, pp. 4296-4301.
14. R. Sepulchre, D. Paley, and N. Leonard, "Collective motion and oscillator synchronization," in Cooperative Control, ser. Lecture Notes in Control and Information Sciences, S. Morse, N. Leonard, and V. Kumar, Eds. Springer, 2004, pp. 189-206.
15. N. J. Tsitsiklis, D. P. Bertsekas, and M. Athans, "Distributed asynchronous deterministic and stochastic gradient optimization algorithms," IEEE Transactions on Automatic Control, vol. 31, no. 9, pp. 803-812, September 1986.
16. R. Sandoval-Rodriguez, C. T. Abdallah, and P. F. Hokayem, "Internet-like protocols for the control and coordination of multiple agents with time delay," in IEEE International Symposium on Intelligent Control, Houston, TX, Oct. 2003.
17. Y. Liu and K. M. Passino, "Cohesive behaviors of multiagent systems with information flow constraints," IEEE Transactions on Automatic Control, 2004, submitted.
18. R. Olfati-Saber and R. M. Murray, "Graph rigidity and distributed formation stabilization of multi-vehicle systems," in Proc. IEEE 41st Conf. Decision and Control, Las Vegas, Nevada, Dec. 2002, pp. 2965-2971.
19. D. Angeli and P.-A. Bliman, "Stability of leaderless multi-agent systems. extension of a result by Moreau," math.OC/0411338, (http://arxiv.org/list/math.oc/0411).
20. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 169-182, February 2005.
21. M. Cao, B. Anderson, and S. Morse, "Unpublished correspondence, " 2005.
22. C. Godsil and G. Royle, Algebraic Graph Theory. New York, NY: Springer-Verlag, 2001.
23. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, UK: Cambridge University Press, 1999.