Collective motion from consensus with Cartesian coordinate coupling - Part I: Single-integrator kinematics

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 1006-1011

  Ren, Wei ^a  

^a Utah State University   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; KINEMATICS; LAPLACE TRANSFORMS; MATRIX ALGEBRA;

CARTESIAN COORDINATE; COLLECTIVE MOTIONS; CONSENSUS ALGORITHMS; CRITICAL EIGENVALUES; LAPLACIAN MATRICES; LOGARITHMIC SPIRAL; NETWORK TOPOLOGY; ROTATION MATRICES;

VEHICLES;

EID: 62949084557     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4738708     Document Type: Conference Paper

References (15)

1. W. Ren and R. W. Beard, Distributed Consensus in Multi-vehicle Cooperative Control, ser. Communications and Control Engineering. London: Springer-Verlag, 2008.
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. A. Sinha and D. Ghose, "Generalization of linear cyclic pursuit with application to rendezvous of multiple autonomous agents," IEEE Transactions on Automatic Control, vol. 51, no. 11, pp. 1819-1824, November 2006.
4. J. A. Marshall, M. E. Broucke, and B. A. Francis, "Formations of vehicles in cyclic pursuit," IEEE Transactions on Automatic Control, vol. 49, no. 11, pp. 1963-1974, 2004.
5. -, "Pursuit formations of unicycles," Automatica, vol. 42, no. 1, pp. 3-12, 2006.
6. M. Pavone and E. Frazzoli, "Decentralized policies for geometric pattern formation and path coverage," ASME Journal of Dynamic Systems, Measurement, and Control, vol. 129, no. 5, pp. 633-643, September 2007.
7. E. W. Justh and P. S. Krishnaprasad, "Equilibria and steering laws for planar formations," Systems and Control Letters, vol. 52, pp. 25-38, 2004.
8. D. A. Paley, N. E. Leonard, R. Sepulchre, D. Grünbaum, and J. K. Parrish, "Oscillator models and collective motion," IEEE Control Systems Magzine, vol. 27, no. 4, pp. 89-105, August 2007.
9. W. Ren, "Collective motion from consensus with Cartesian coordinate coupling - part ii: Double-integrator dynamics," in Proceedings of the IEEE Conference on Decision and Control, 2008.
10. R. Agaev and P. Chebotarev, "On the spectra of nonsymmetric Laplacian matrices," Linear Algebra and its Applications, vol. 399, pp. 157-178, 2005.
11. 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.
12. R. Olfati-Saber and R. M. Murray, "Consensus problems in networks of agents with switching topology and time-delays," IEEE Transactions on Automatic Control, vol. 49, no. 9, pp. 1520-1533, September 2004.
13. 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.
14. A. J. Laub, Matrix Analysis for Scientists and Engineers. Philadelphia, PA: SIAM, 2005.
15. http://www.mathpages.com/home/kmath593/kmath593.htm.