Effective sensing regions and connectivity of agents undergoing periodic relative motions

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2008, Pages 3089-3094

  Swain, Daniel T ^a   Cao, Ming ^b   Leonard, Naomi Ehrich ^a  

^a Princeton University   (United States)

^b UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

SENSOR NETWORKS; SOLVENTS;

CONSENSUS ALGORITHMS; FAST CONVERGENCE; MOBILE SENSOR NETWORKS; NUMERICAL RESULTS; PERCOLATION THEORY; RELATIVE POSITIONS; SPEED OSCILLATION; TIME-VARYING GRAPHS;

MULTI AGENT SYSTEMS;

EID: 62949096163     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2008.4739420     Document Type: Conference Paper

References (19)

1. A. Jadbabaie, J. Lin, and A. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Automatic Control, vol. 48, no. 6, pp. 988-1001, 2003.
2. R. Sepulchre, D. Paley, and N. Leonard, "Stabilization of planar collective motion with limited communication," IEEE Trans. Automatic Control, vol. 53, no. 3, pp. 706-719, 2008.
3. M. Cao, A. S. Morse, and B. D. O. Anderson, "Reaching a consensus in a dynamically changing environment : Convergence rates, measurement delays and asynchronous events," SIAM Journal on Control and Optimization, vol. 47, pp. 601-623, 2008.
4. 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.
5. L. Moreau, "Stability of multiagent systems with time-dependent communication links," IEEE Trans. Automatic Control, vol. 50, no. 2, pp. 169-182, 2005.
6. I. D. Couzin and A. Kao, "Fish schooling." Preprint, 2006.
7. D. Swain, N. Leonard, I. Couzin, A. Kao, and R.J.Sepulchre, "Alternating spatial patterns for coordinated group motion," in Proc. 46th IEEE Conf. on Decision and Control, 2007.
8. B. Bollobas and O. Riordan, Percolation. New York: Cambridge University Press, 2006.
9. R. Meester and R. Roy, Continuum percolation. Cambridge: Cambridge University Press, 1996.
10. P. Balister, B. Bollobas, and M. Walters, "Continuum percolation with steps in the square or the disc," Random Structures and Algorithms, vol. 26, pp. 392-403, 2005.
11. J. Quintanilla, S. Torquato, and R. Ziff, "Efficient measurement of the percolation threshold for fully penetrable discs," J. Phys. A: Math. Gen., vol. 33, pp. L399-L407, 2000.
12. L. Scardovi, A. Sarlette, and R. Sepulchre, "Synchronization and balancing on the N-torus," Systems and Control Letters, vol. 56(5), pp. 335-341, 2007.
13. C. Godsil and G. Royle, Algebraic Graph Theory. New York: Springer Graduate Texts in Mathematics # 207, 2001.
14. Y. Kim and M. Mesbahi, "On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian," IEEE Transactions on Automatic Control, vol. 51, pp. 116-120, 2006.
15. V. D. Blondel, J. M. Hendrichx, A. Olshevsky, and J. N. Tsitsiklis, "Convergence in multiagent coordination, consensus, and flocking," in Proc. of the 44th IEEE CDC, pp. 2996-3000, 2005.
16. D. Paley, N. Leonard, R. Sepulchre, and I. Couzin, "Spatial models of bistability in biological collectives," in Proc. 46th IEEE Conf. on Decision and Control, 2007.
17. R. Horn and C. Johnson, Matrix Analysis. New York: Cambridge University Press, 1985.
18. W. Ren and R. Beard, "Consensus seeking in multiagent systems under dynamically changing interaction topologies," IEEE Trans. Automat. Control, vol. 50, pp. 655-661, 2005.
19. M. Penrose, Random Geometric Graphs. New York: Oxford University Press, 2003.