Consensus Problems with Directed Markovian Communication Patterns

Proceedings of the American Control Conference

Volumn , Issue , 2009, Pages 1298-1303

  Matei, Ion ^a   Martins, Nuno C ^a   Baras, John S ^a  

^a UNIVERSITY OF MARYLAND   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMMUNICATION PATTERN; CONSENSUS PROBLEMS; DIRECTED INFORMATION; DISTINCTIVE FEATURES; DYNAMIC AGENTS; INITIAL STATE; MARKOV CHAIN; MARKOVIAN; MARKOVIAN JUMP LINEAR SYSTEMS; MARKOVIAN SWITCHING; MATRIX THEORY; RANDOM PROCESS THEORY; RANDOM SWITCHING; SPANNING TREE;

GRAPH THEORY; LINEAR SYSTEMS; TOPOLOGY;

MARKOV PROCESSES;

EID: 70449669004     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2009.5160588     Document Type: Conference Paper

References (19)

1. V. Borkar and P. Varaya, "Asymptotic agreement in distributed estimation", IEEE Trans. Autom. Control, vol. AC-27, no. 3, pp. 650-655, Jun 1982.
2. O.L.V. Costa, M.D. Fragoso and R.P. Marques, Discrete-Time Markov Jump Linear Systems, Springer-Verlag, London 2005.
3. J.A. Fax, "Optimal and cooperative control of vehicles formations", Ph.D. dissertation, Control Dynamical Syst., California Inst. Technol., Pasadena, CA, 2001.
4. J.A. Fax and R.M. Murray, "Information flow and cooperative control of vehicles formations", IEEE Trans. Automatic Control, vol. 49, no. 9, pp. 1456-1476, Sept. 2004.
5. G. Grimmet and D. Stirzaker, Probability and Random Processes, Third Edition, Oxford University Press, 2001.
6. A. Jadbabaie, J. Lin and A.S. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor", IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 998-1001, Jun 2003.
7. Y. Hatano and M. Mesbahi, "Agreement over Random Networks", IEEE Trans. Autom. Control, vol. 50, no. 11, pp. 18671872, 2005.
8. th Conference on Decision and Control, to appear, 2008.
9. L. Moreau, "Stability of multi-agents systems with time-dependent communication links", IEEE Trans. Automatic Control, vol. 50, no. 2, pp. 169-182, Feb. 2005.
10. M. Porfiri and D.J. Stilwell, "Consensus seeking over Random Directed Weighted Graphs", IEEE Trans. Autom. Control, vol. 52, no. 9, Sept. 2007.
11. W. Ren and R.W. Beard, "Consensus seeking in multi-agents systems under dynamically changing interaction topologies", IEEE Trans. Autom. Control, vol. 50, no. 5, pp. 655-661, May 2005.
12. R.O. Saber and R.M. Murray, "Consensus protocols for networks of dynamic agents", in Proc. 2003 Am. Control Conf., 2003, pp. 951-956.
13. R.O. Saber and R.M. Murray, "Consensus problem in networks of agents with switching topology and time-delays", IEEE Trans. Automatic Control, vol. 49, no. 9, pp. 1520-1533, Sept. 2004.
14. R.O. Saber, "Distributed Kalman Filter with Embedded Consensus Filters,", Proceedings of the 44th IEEE Conference on Decision and Control, 2005.
15. R.O. Saber, J.A. Fax and R.M. Murray, "Consensus and Cooperation in Networked Multi-Agent Systems", Proceedings of the IEEE, vol. 95, no. 1, pp. 215-233, Jan. 2007.
16. A. Tahbaz Salehi and A. Jadbabaie, "Necessary and Sufficient Conditions for Consensus over random networks", IEEE Transactions on Automatic Control, accepted, August 2007.
17. J.N. Tsitsiklis, "Problems in decentralized decision making and computation", Ph.D. dissertation, Dept. Electr. Eng., Massachusetts Inst. Technol., Cambridge, MA, Nov. 1984.
18. J.N. Tsitsiklis, D.P. Bertsekas and M. Athans, "Distributed asynchronous deterministic and stochastic gradient optimization algorithms", IEEE Trans. Automatic Control, vol. 31, no. 9, pp. 803-812, Sept. 1986.
19. J. Wolfowitz, "Product of indecomposable aperiodic stochastic matrices", in Proc. Am. Math. Soc., 1963, vol. 15, pp. 733-736.