Critical damping in a kinetic interaction network

Proceedings of the 2010 American Control Conference, ACC 2010

Volumn , Issue , 2010, Pages 4628-4633

  Paley, Derek A ^a   Baharani, Ajay K ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; KINETICS; TRAFFIC CONGESTION;

ALGEBRAIC CONNECTIVITY; ANALYTICAL RESULTS; DIRECTED INTERACTIONS; INTELLIGENT DRIVER MODELS; INTERACTION NETWORKS; KINETIC INTERACTIONS; NUMBER OF VEHICLES; SYNTHETIC NETWORKS;

TRANSIENT ANALYSIS;

EID: 77957798883     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2010.5531059     Document Type: Conference Paper

References (20)

1. D. V. Radakov, Schooling in the ecology of fish. J. Wiley, 1973, translated from Russian by H. Mills.
2. P. Domenici and R. S. Batty, "Escape behavior of solitary herring (Clupea harengus) and comparisons with schooling individuals," Marine Biology, vol. 128, no. 1, pp. 29-38, 1997.
3. M. Ballerini, N. Cabibbo, R. Candelier, A. Cavagna, E. Cisbani, I. Giardina, V. Lecornte, A. Orlandi, G. Parisi, A. Procaccini, M. Viale, and Z. Zdravkovic, "Interaction ruling animal collective behavior depends on topological rather than metric distance: Evidence from a field study," Proc. National Academy of Sciences, vol. 105, no. 4, pp. 1232-1237, 2008.
4. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Automatic Control, vol. 50, no. 2, pp. 169-182, 2005.
5. W. Ren and R. W. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Automatic Control, vol. 50, no. 5, pp. 655-661, 2005.
6. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Trans. Automatic Control, vol. 49, no. 9, pp. 1520-1533, 2004.
7. R. Olfati-Saber, "Ultrafast consensus in small-world networks," in Proc. 2005 Amer. Control Conf., Portland, Oregon, June 2005, pp. 2371-2378.
8. S. Boyd, P. Diaconis, and L. Xiao, "The fastest mixing Markov chain on a graph," SIAM Review, vol. 46, no. 4, pp. 667-689, 2004.
9. J. Sun, S. Boyd, L. Xiao, and P. Diaconis, "The fastest mixing Markov process on a graph and a connection to a maximum variance unfolding problem," SIAM Review, vol. 48, no. 4, pp. 681-699, 2006.
10. R. Sepulchre, D. A. Paley, and N. E. Leonard, "Stabilization of planar collective motion: All-to-all communication," IEEE Trans. Automatic Control, vol. 52, no. 5, pp. 811-824, 2007. (Pubitemid 46796067)
11. -, "Stabilization of planar collective motion with limited communication," IEEE Trans. Automatic Control, vol. 53, no. 3, pp. 706-719, 2008.
12. D. A. Paley, "Stabilization of Collective Motion on a Sphere," Automatica, vol. 45, no. 1, pp. 212-216, 2009.
13. D. A. Paley and C. Peterson, "Stabilization of Collective Motion in a Time-Invariant Flowfield," J. Guidance, Control, and Dynamics, vol. 32, no. 3, pp. 771-779, 2009.
14. M. Treiber, A. Hennecke, and D. Helbing, "Congested traffic states in empirical observations and microscopic simulations," Phys. Rev. E, vol. 62, no. 2A, pp. 1805-1824, 2000.
15. W. Ren, "On consensus algorithms for double-integrator dynamics," IEEE Trans. Automatic Control, vol. 53, no. 6, pp. 1503-1509, 2008.
16. R. Merris, "Laplacian matrices of graphs: A survey," Linear Algebra and its Applications, vol. 197, no. 198, pp. 143-176, 1994.
17. R. M. Gray, "Toeplitz and circulant matrices: A review," Foundations and Trends in Communications and Information Theory, vol. 2, no. 3, pp. 155-239, 2006.
18. R. Olfati-Saber, "Algebraic connectivity ratio of Ramanujan graphs," in Proc. 2007 American Control Conf., New York, New York, July 2007, pp. 4619-4624.
19. E. W. Weisstein. "Cubic Formula." From Mathworld- A Wolfram Web Resource. [Online]. Available: http://mathworld.wolfram.com/CubicFormula.html.
20. A. Pant, P. Seiler, T. J. Koo, and K. Hedrick, "Mesh stability of unmanned aerial vehicle clusters," in Proc. Amer. Cont. Conf., Arlington, Virginia, June 2001, pp. 62-68.