Collective motion of ring-coupled planar particles

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

Volumn 2005, Issue , 2005, Pages 3929-3934

  Jeanne, James ^a   Leonard, Naomi Ehrich ^a   Paley, Derek ^a  

^a Princeton University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; GAIN CONTROL; OSCILLATORS (ELECTRONIC); STABILITY CRITERIA;

CIRCULAR MOTIONS; KURAMOTO MODEL; PLANAR PARTICLES; RING COUPLED PLANAR PARTICLES;

ELEMENTARY PARTICLES;

EID: 33847222499     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2005.1582775     Document Type: Conference Paper

References (13)

1. E. Fiorelli, N. Leonard, P. Bhatta, D. Paley, R. Bachmayer, and D. Fratantoni, "Multi-AUV control and adaptive sampling in Monterey Bay," in Proc. IEEE Autonomous Underwater Vehicles 2004: Workshop on Multiple AUV Operations, June 2004.
2. E. Justh and P. Krishnaprasad, "A simple control law for UAV formation flying," Institute for Systems Research, Univ. Maryland, Tech. Rep. 2002-38, 2002.
3. I. Couzin, J. Krause, R. James, G. Ruxton, and N. Franks, "Collective memory and spatial sorting in animal groups," J. theor. Biol., vol. 218, no. 1, pp. 1-11, 2002.
4. R. Sepulchre, D. Paley, and N. Leonard, "Collective motion and oscillator synchronization," in Cooperative Control: 2003 Block Island Workshop on Cooperative Control, V. Kumar, N. Leonard, and A. Morse, Eds. Springer-Verlag, 2005, pp. 189-228.
5. D. Paley, N. Leonard, and R. Sepulchre, "Collective motion: Bistability and trajectory tracking," in Proc. 43rd IEEE Conf. Decision and Control, 2004, pp. 1932-1937.
6. Y. Kuramoto, Chemical oscillations, waves, and turbulence. Springer-Verlag, 1984.
7. D. Paley, N. Leonard, and R. Sepulchre, "Oscillator models and collective motion: Splay state stabilization of self-propelled particles," in Proc. 44th IEEE Conf. Decision and Control, 2005.
8. R. Sepulchre, D. Paley, and N. Leonard, "Stabilization of planar collective motion, part I: All-to-all communication," 2005, submitted to IEEE Trans. Automatic Control, http://www.princeton.edu/~naomi/publications/ 2005/tacI05SPL.html.
9. J. Marshall, M. Broucke, and B. Francis, "Formations of vehicles in cyclic pursuit," IEEE Trans. on Automatic Control, vol. 49, no. 11, pp. 1963-1974, 2994.
10. B. Bollobás, Graph Theory: An Introductory Course. Springer-Verlag, 1979.
11. R. Sepulchre, D. Paley, and N. Leonard, "Stabilization of planar collective motion, part II: Limited communication," in preparation.
12. A. Jadbabaie, N. Motee, and M. Barahona, "On the stability of the Kuramoto model of coupled nonlinear oscillators," in Proc. American Controls Conference, June 2004, corrected version at http://www.seas.upenn. edu/~jadbabai/.
13. H. Coxeter, Regular Polytopes. MacMillan, 1963.