Multi-agent speed consensus via delayed position feedback with application to Kuramoto oscillators

2009 European Control Conference, ECC 2009

Volumn , Issue , 2014, Pages 2464-2469

  Schmidt, Gerd S ^a   Munz, Ulrich ^a   Allgower, Frank ^a  

^a UNIVERSITY OF STUTTGART   (Germany)

Author keywords

Consensus; Kuramoto oscillator; Multi agent systems; Time delays

Indexed keywords

FEEDBACK; TIME DELAY;

COMMUNICATION DELAYS; CONSENSUS; DELAYED POSITION FEEDBACKS; FREQUENCY ENTRAINMENT; INITIAL CONDITIONS; KURAMOTO OSCILLATORS; NON-IDENTICAL; STATE INFORMATION;

MULTI AGENT SYSTEMS;

EID: 84955169115     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.23919/ecc.2009.7074775     Document Type: Conference Paper

References (19)

1. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in networked multi-agent systems," Proceedings of the IEEE, vol. 95, no. 1, pp. 215-233, 2007.
2. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control. London, UK: Springer, 2008.
3. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: algorithms and theory," Automatic Control, IEEE Transactions on, vol. 51, no. 3, pp. 401-420, 2006.
4. I. D. Couzin, J. Krause, N. R. Franks, and S. A. Levin, "Effective leadership and decision-making in animal groups on the move," Nature, vol. 433, pp. 513-516, 2005.
5. D. Helbing, I. Farkas, and T. Vicsek, "Simulating dynamical features in escape panic," Nature, vol. 407, no. 6803, pp. 487-490, 2000.
6. S. Barbarossa and G. Scutari, "Decentralized maximum-likelihood estimation for sensor networks composed of nonlinearly coupled dynamical systems," Signal Processing, IEEE Transactions on, vol. 55, no. 7, pp. 3456-3470, 2007.
7. Y. Kuramoto, Chemical Oscillations, Waves, and Turbulence. Berlin, Germany: Springer, 1984.
8. E. Niebur, H. G. Schuster, and D. M. Kammen, "Collective Frequencies and Metastability in Networks of Limit-Cycle Oscillators with Time Delay," Phys. Rev. Lett., vol. 67, no. 20, pp. 2753-2756, 1991.
9. Y. Nakamura, F. Tominaga, and T. Munakata, "Clustering Behavior of Time-Delayed Nearest-Neighbor Coupled Oscillators," Phys. Rev. E, vol. 49, no. 6, pp. 4849-4856, 1994.
10. M. K. S. Yeung and S. H. Strogatz, "Time delay in the Kuramoto model of coupled oscillators," Physical Review Letters, vol. 82, no. 3, pp. 648-651, 1999.
11. M. G. Earl and S. H. Strogatz, "Synchronization in oscillator networks with delayed coupling: A stability criterion," Physical Review E, vol. 67, no. 3, p. 036204, 2003.
12. N. Chopra and M. W. Spong, "On Synchronization of Kuramoto Oscillators," in Proceedings of the 44th IEEE Conference on Decision and Control and European Control Conference, 2005, pp. 3916-3922.
13. A. Jadbabaie, N. Motee, and M. Barahona, "On the stability of the kuramoto model of coupled nonlinear oscillators," in Proceedings of the American Control Conference, Boston, USA, 2004, pp. 4296-4301.
14. M. Y. Choi, H. J. Kim, D. Kim, and H. Hong, "Synchronization in a System of Globally Coupled Oscillators with Time Delay," Phys. Rev. E, vol. 61, no. 1, pp. 371-381, 2000.
15. A. Papachristodoulou and A. Jadbabaie, "Synchonization of oscillator networks with heterogeneous delays, switching topologies and nonlinear dynamics," in Proceedings of the 45th IEEE Conference on Decision and Control, San Diego, USA, 2006, pp. 4307-4312.
16. J. K. Hale and S. M. V. Lunel, Introduction to Functional Differential Equations, ser. Applied Mathematical Sciences. Springer, 1993, no. 99.
17. J. Haddock and J. Terjeki, "Liapunov-Razumikhin functions and an invariance-principle for functional-differential equations," Journal of Differential Equations, vol. 48, pp. 95-122, 1983.
18. C. Godsil and G. Royle, Algebraic Graph Theory, ser. Graduate Texts in Mathematics. Springer, 2001, no. 207.
19. U. Münz, A. Papachristodoulou, and F. Allgöwer, "Consensus reaching in multi-agent packet-switched networks with nonlinear coupling," International Journal of Control, vol. 82, no. 5, pp. 953-969, 2009.