On the controlled agreement problem

Proceedings of the American Control Conference

Volumn 2006, Issue , 2006, Pages 1376-1381

  Rahmani, Amirreza ^a   Mesbahi, Mehran ^a  

^a UNIVERSITY OF WASHINGTON   (United States)

Author keywords

Agreement dynamics; Algebraic graph theory; Controllability; Graph symmetry

Indexed keywords

CONTROLLABILITY; DYNAMICAL SYSTEMS; GRAPH THEORY; INTERCONNECTION NETWORKS; NETWORK PROTOCOLS;

AGREEMENT DYNAMICS; ALGEBRAIC GRAPH THEORY; GRAPH SYMMETRY;

PROBLEM SOLVING;

EID: 34047240864     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/acc.2006.1656409     Document Type: Conference Paper

References (26)

1. T. Balch and R. C. Arkin. Behavior-based formation control for multirobot teams, IEEE Transactions on Robotics and Automation, 14: 926-939, 1998.
2. B. Bamieh, F. Paganini, and M. Dahleh. Distributed control of spatially-invariant systems, IEEE Transactions on Automatic Control, 47 (7): 1091-1107, July 2002.
3. D. P. Bertsekas and J. N. Tsitsiklis. Parallel and Distributed Computation, Prentice Hall, 1989.
4. N. Biggs. Algebraic Graph Theory, Cambridge University Press, 1993.
5. B-D. Chen and S. Lall. Dissipation inequalities for distributed systems on graphs, IEEE Conference on Decision and Control, December 2003.
6. J. Cortes and F. Bullo, Coordination and geometric optimization via distributed dynamical systems, SIAM Journal of Control and Optimization, (45) 5: 1543-1574, 2005.
7. R. D'Andrea and G. E. Dullerud. Distributed control design for spatially interconnected systems. IEEE Transactions on Automatic Control, (48) 9: 1478-1495, 2003.
8. R. Diestel. Graph Theory, Springer, 2000.
9. C. Fall, E. Marland, J. Wagner, and J. Tyson (Editors). Computational Cell Biology, Springer, 2005.
10. J. A. Fax and R. M. Murray. Information flow and cooperative control of vehicle formations, IEEE Transactions on Automatic Control, (49) 9: 1465-1476, 2004.
11. Y. Hatano and M. Mesbahi. Agreement over random networks. IEEE Transactions on Automatic Control, (50) 11: 1867-1872, 2005.
12. R. A. Horn and C. Johnson. Matrix Analysis. Cambridge University Press, 1985.
13. C. Godsil and G. Royle. Algebraic Graph Theory, Springer, 2001.
14. A. Jadbabaie, J. Lin and A.S. Morse. Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Transactions on Automatic Control, (48) 6: 988-1001, 2003.
15. Y. Kim, M. Mesbahi, and F. Y. Hadaegh. Multiple-spacecraft reconfigurations through collision avoidance, bouncing, and stalemates, Journal of Optimization Theory and Applications, (122) 2: 323-343, 2004.
16. R. Merris. Laplacian matrices of graphs: a survey, Linear Algebra and its Applications, 197,198: 143-176, 1994.
17. M. Mesbahi. State-dependent graphs and their controllability properties, IEEE Transactions on Automatic Control, (50) 3: 387 - 392, 2005.
18. M. Mesbahi and F. Y. Hadaegh. Formation flying control of multiple spacecraft via graphs, matrix inequalities, and switching, AIAA Journal of Guidance, Control, and Dynamics, (24) 2: 369-377, 2001.
19. L. Moreau. Stability of multiagent systems with time-dependent communication links, IEEE Transactions on Automatic Control, (50) 2: 169 - 182, 2005.
20. R. Olfati-Saber and R. M. Murray. Consensus problems in networks of agents with switching topology and time-delays, IEEE Transactions on Automatic Control, (49) 9: 1520-1533, 2004.
21. R. Olfati-Saber and J. S. Shamma. Consensus filters for sensor networks and distributed sensor fusion, IEEE Conference on Decision and Control, December 2005.
22. K. Ogata. Modern Control Engineering, Prentice Hall, 2002.
23. H. G. Tanner. On the controllability of nearest neighbor interconnections, IEEE Conference on Decision and Control, December 2004.
24. G. Walsh, H. Ye, and L. Bushnell. Stability analysis of networked control systems, American Control Conference, June 1999.
25. P. K. C. Wang and F. Y. Hadaegh. Coordination and control of multiple microspacecraft moving in formation, Journal of the Astronautical Sciences, 44: 315-355, 1996.
26. L. Xiao and S. Boyd. Fast linear iterations for distributed averaging. Systems and Control Letters, (53): 65-78, 2004.