System theory over random consensus networks: Controllability and optimality properties

Proceedings of the IEEE Conference on Decision and Control

Volumn , Issue , 2011, Pages 2323-2328

  Nabi Abdolyousefi, Marzieh ^a   Mesbahi, Mehran ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

consensus; controllability; cooperative control; Linear quadratic regulator (LQR); random networks

Indexed keywords

OBSERVABILITY;

CO-OPERATIVE CONTROL; CONSENSUS; CONSENSUS NETWORKS; CONTROLLABILITY AND OBSERVABILITIES; FEEDBACK CONTROLLER; LINEAR QUADRATIC REGULATOR; RANDOM NETWORK; UNDERLYING DISTRIBUTION;

CONTROLLABILITY;

EID: 84860655262     PISSN: 07431546     EISSN: 25762370     Source Type: Conference Proceeding    
DOI: 10.1109/CDC.2011.6161437     Document Type: Conference Paper

References (18)

1. A. Fax and R. M. Murray, Information flow and cooperative control of vehicle formations, IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1465-1476, 2004.
2. A. Jadbabaie, J. Lin, and A. S. Morse, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, Jun. 2003.
3. M. Mesbahi, On a dynamic extension of the theory of graphs, Proc. Amer. Control Conf., pp. 1234-1239, May 2002.
4. M. Mesbahi, State-dependent graphs and their controllability properties, IEEE Trans. Autom. Control, vol. 50, no. 3, pp. 387-392, Mar. 2005.
5. R. Olfati-Saber and R. M. Murray, Consensus problems in networks of agents with switching topology and time delays, IEEE Trans. Autom. Control, vol. 49, no. 9, pp. 1520-1533, Sep. 2004.
6. L. Xiao and S. Boyd, Fast linear iterations for distributed averaging, Syst. Control Lett., vol. 53, pp. 65-78, 2004.
7. R. E. Kalman, Control of randomly varying linear dynamical systems, Proc. Sympos. Appl. Math American Mathematical Society, Providence, R.I., vol. XIII, pp. 287-298, 1962.
8. Y. Cao, W. Ren, Optimal Linear-Consensus Algorithms: An LQR Perspective, IEEE Transactions on Systems, Man, and Cybernetics, Part B: Cybernetics, vol. 40, no. 3, pp 819-830, 2010.
9. E. N. Gilbert, Random Graphs, Annals of Mathematical Statistics, vol. 30, no. 4, pp. 1141-1144, 1959.
10. P. Erdos and A. Renyi, On the evolution of random graphs, Pub. Math. Inst. Hung. Acad. Sci., no. 5, pp. 17-61, 1960.
11. B. Bollobas, Random Graphs, Cambridge, U.K.: Cambridge Univ. Press, 2001.
12. P. Bougerol, Kalman filtering with random coefficients and contraction, SIAM Journal of Control and Optimization, Vol. 31, No. 4, pp. 942-959, 1993.
13. M. Nabi Abdolyousefi, and M. Mesbahi, Decentralized estimators over random networks, ACC, pp. 2813-1818, CA, USA, July 2011.
14. M. Mariton, Stochastic controllability of linear systems with Markovian jumps, Automatica, Volume 23, Issue 6, pp. 783-785, 1987.
15. M. Mariton, Jump Linear Systems in Automatic Control, CRC Press, 1990.
16. H. Furstenberg, and R. Kesten, Products of random matrices, Ann. Math. Statistic, vol. 31, pp. 457-469, 1960.
17. P. Dorato, C. T. Abdallah, and V. Cerone, Linear Quadratic Control, An Introduction, Krieger Pub. Comp., 2000.
18. F. Chung, and M. Dadcliffe, On the Spectra of General Random Graphs, http://www.math.ucsd.edu/ fan/wp/randomsp.pdf.