Distributed gradient ascent of random fields by robotic sensor networks

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2007, Pages 3120-3126

  Cortés, Jorge ^a  

^a UNIVERSITY OF CALIFORNIA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; BAYESIAN NETWORKS; COMPUTER SIMULATION; LEAST SQUARES APPROXIMATIONS; MEASUREMENT THEORY; RANDOM ACCESS STORAGE;

KRIGING INTERPOLATION TECHNIQUE; OVERRELAXATION METHOD; ROBOTIC SENSOR NETWORKS;

SENSOR NETWORKS;

EID: 62749198662     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2007.4434518     Document Type: Conference Paper

References (17)

1. P. Ögren, E. Fiorelli, and N. E. Leonard, "Cooperative control of mobile sensor networks: Adaptive gradient climbing in a distributed environment," IEEE Transactions on Automatic Control, vol. 49, no. 8, pp. 1292-1302, 2004.
2. K. M. Lynch, I. B. Schwartz, P. Yang, and R. A. Freeman, "Decentralized environmental modeling by mobile sensor networks," IEEE Transactions on Robotics, 2006. Submitted.
3. S. Martinez, "Distributed representation of spatial fields through an adaptive interpolation scheme," in American Control Conference, (New York City, NY), pp. 2750-2755, 2007.
4. N. E. Leonard, D. Paley, F. Lekien, R. Sepulchre, D. M. Fratantoni, and R. Davis, "Collective motion, sensor networks, and ocean sampling," Proceedings of the IEEE, vol. 45, pp. 48-74, Jan. 2007. Special Issue on Networked Control Systems.
5. D. P. Bertsekas and J. N. Tsitsiklis, Parallel and Distributed Computation: Numerical Methods. Belmont, MA: Athena Scientific, 1997.
6. L. Xiao, S. Boyd, and S. Lall, "A scheme for asynchronous distributed sensor fusion based on average consensus," in International Conference on Information Processing in Sensor Networks (IPSN'05), (Los Angeles, CA), pp. 63-70, Apr. 2005.
7. D. P. Spanos, R. Olfati-Saber, and R. M. Murray, "Distributed sensor fusion using dynamic consensus," in IFAC World Congress, (Prague, CZ), July 2005. Electronic proceedings.
8. D. P. Spanos, R. Olfati-Saber, and R. M. Murray, "Dynamic consensus for mobile networks," in IFAC World Congress, (Prague, Czech Republic), July 2005.
9. R. A. Freeman, P. Yang, and K. M. Lynch, "Stability and convergence properties of dynamic average consensus estimators," in IEEE Conf. on Decision and Control, (San Diego, CA), pp. 398-403, 2006.
10. N. A. C. Cressie, Statistics for Spatial Data. New York: Wiley, 1993. revised edition.
11. M. L. Stein, Interpolation of Spatial Data. Some Theory for Kriging. Springer Series in Statistics, New York: Springer Verlag, 1999.
12. S. Banerjee, A. E. Gelfand, and C. F. Sirmans, "Directional rates of change under spatial process models," Journal of the American Statistical Association, vol. 98, no. 464, pp. 946-954, 2003.
13. L. C. G. Rogers and D. Williams, Diffusions, Markov Processes and Martingales, vol. 1. Cambridge, UK: Cambridge University Press, 2nd ed., 2000.
14. H. J. Kushner, "On the stability of stochastic dynamical systems," PNAS, vol. 53, pp. 8-12, 1965.
15. J. Cortés, "Distributed Kriged Kalman filter for spatial estimation," 2007. Submitted. Electronically available at http://www.soe.ucsc.edu/~jcortes.
16. J. Cortés, S. Martínez, and F. Bullo, "Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions," IEEE Transactions on Automatic Control, vol. 51, no. 8, pp. 1289-1298, 2006.
17. F. E. Udwadia, "Some convergence results related to the JOR iterative method for symmetric, positive-definite matrices," Applied Mathematics and Computation, vol. 47, no. 1, pp. 37-45, 1992.