Convergence of sampled-data consensus algorithms for double-integrator dynamics

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 3965-3970

  Ren, Wei ^a   Cao, Yongcan ^a  

^a Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

TOPOLOGY;

CONSENSUS ALGORITHMS; CONTROL GAINS; DIRECTED INTERACTIONS; DOUBLE-INTEGRATOR DYNAMICS; INTERMITTENT INTERACTIONS; SAMPLED DATA; SAMPLING PERIOD;

DATA INTEGRATION;

EID: 62949246094     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4738652     Document Type: Conference Paper

References (23)

1. W. Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control: Collective group behavior through local interaction," IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71-82, April 2007.
2. W. Ren and E. M. Atkins, "Distributed multi-vehicle coordinated control via local information exchange," International Journal of Robust and Nonlinear Control, vol. 17, no. 10-11, pp. 1002-1033, July 2007.
3. G. Xie and L. Wang, "Consensus control for a class of networks of dynamic agents," International Journal of Robust and Nonlinear Control, vol. 17, no. 10-11, pp. 941-959, July 2007.
4. W. Ren, "Consensus strategies for cooperative control of vehicle formations," IET Control Theory & Applications, vol. 1, no. 2, pp. 505-512, March 2007.
5. J. A. Fax and R. M. Murray, "Information flow and cooperative control of vehicle formations," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1465-1476, September 2004.
6. G. Lafferriere, A. Williams, J. Caughman, and J. J. P. Veerman, "Decentralized control of vehicle formations," Systems and Control Letters, vol. 54, no. 9, pp. 899-910, 2005.
7. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: Algorithms and theory," IEEE Transactions on Automatic Control, vol. 51, no. 3, pp. 401-420, March 2006.
8. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, "Flocking in fixed and switching networks," IEEE Transactions on Automatic Control, vol. 52, no. 5, pp. 863-868, May 2007.
9. D. Lee and M. W. Spong, "Stable flocking of multiple inertial agents on balanced graphs," IEEE Transactions on Automatic Control, vol. 52, no. 8, pp. 1469-1475, August 2007.
10. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Transactions on Automatic Control, vol. 48, no. 6, pp. 988-1001, June 2003.
11. L. Moreau, "Stability of multi-agent systems with time-dependent communication links," IEEE Transactions on Automatic Control, vol. 50, no. 2, pp. 169-182, February 2005.
12. W. Ren and R. W. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Transactions on Automatic Control, vol. 50, no. 5, pp. 655-661, May 2005.
13. M. H. DeGroot, "Reaching a consensus," Journal of American Statistical Association, vol. 69, no. 345, pp. 118-121, 1974.
14. J. N. 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, 1986.
15. N. A. Lynch, Distributed Algorithms. San Francisco, California: Morgan Kaufmann Publishers, Inc., 1996.
16. T. Hayakawa, T. Matsuzawa, and S. Hara, "Formation control of multiagent systems with sampled information," in Proceedings of the IEEE Conference on Decision and Control, San Diego, CA, December 2006, pp. 4333-4338.
17. R. Agaev and P. Chebotarev, "On the spectra of nonsymmetric Laplacian matrices," Linear Algebra and its Applications, vol. 399, pp. 157-178, 2005.
18. W. Ren, "On consensus algorithms for double-integrator dynamics," in Proceedings of the IEEE Conference on Decision and Control, New Orleans, LA, December 2007, pp. 2295-2300.
19. R. Merris, "Laplacian matrices of graphs: A survey," Linear Algebra and its Applications, vol. 197-198, pp. 143-176, 1994.
20. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, UK: Cambridge University Press, 1985.
21. Z. Jovanovic and B. Dankovic, "On the probability stability of discretetime control systems," Ser:Elec. Energ., vol. 17, pp. 11-20, April 2004.
22. A.-L. Cauchy, "Exercices de mathematiques, iv annee," de Bure Freres, Paris, 1829.
23. R. C. Riddell, "Upper bounds on the moduli of the zeros of a polynomial," Mathematics Magazine, vol. 47, no. 5, pp. 267-273, November 1974.