Consensus value of multi-agent networked systems with time-delay

2009 IEEE/INFORMS International Conference on Service Operations, Logistics and Informatics, SOLI 2009

Volumn , Issue , 2009, Pages 179-184

  Fuxiao, Tan ^a   Derong, Liu ^b   Xinping, Guan ^a  

^a YANSHAN UNIVERSITY   (China)

^b INSTITUTE OF AUTOMATION   (China)

Author keywords

[No Author keywords available]

Indexed keywords

CONSENSUS PROTOCOLS; CONTINUOUS SYSTEM; CONVERGENCE CRITERION; CONVEX COMBINATIONS; CONVEX HULL; DIRECTED GRAPHS; FIRST-ORDER; INITIAL STATE; INTEGRATOR MODELS; LINEAR TIME-DELAY SYSTEM; LINEAR TIME-INVARIANT SYSTEM; LTI SYSTEMS; MULTI-AGENT; NETWORKED SYSTEMS; TIME INVARIANTS;

COMPUTATIONAL GEOMETRY; DELAY CONTROL SYSTEMS; NETWORK PROTOCOLS; TIME DELAY; TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 70449498138     PISSN: None     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/SOLI.2009.5203926     Document Type: Conference Paper

References (31)

1. C. W. Reynolds, "Flocks, herds, and schools: a distributed behavioral model," Comput. Graph., vol. 21, pp. 25-34, 1987.
2. Z. Lin, M. Brouke, and B. Francis, "Local control strategies for groups of mobile autonomous agents," IEEE Trans. Autom. Control, vol. 49, no. 4, pp. 622-629, Apr. 2004.
3. V. Gazi, "Stability of an asynchronous swarm with time-dependent communication links," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 1, pp. 267-274, Jan. 2008.
4. W. Li, "Stability analysis of swarms with general topology," IEEE Trans. Syst., Man, Cybern. B, Cybern., vol. 38, no. 4, pp. 1084-1097, Jul. 2008.
5. J. Lin, A. S. Morse, and B. D. O. Anderson, "The multi-agent rendezvous problem," in Proc. 42th IEEE Conf. Decision and Control, Maui, Hawaii, Dec. 2003, pp. 1508-1513.
6. R. Olfati-Saber, "Flocking for multi-agent dynamic systems: Algorithms and theory," IEEE Trans. Autom. Control, vol. 51, no. 3, pp. 401-420, Mar. 2006.
7. H. Tanner, A. Jadbabaie, and G. J. Pappas, "Stable flocking of mobile agents, part I: Fixed topology," in Proc. 42th IEEE Conf. Decision and Control, Maui, Hawaii, Dec. 2003, pp. 2010-2015.
8. H. Tanner, A. Jadbabaie, and G. J. Pappas, "Stable flocking of mobile agents, part II: Dynamic topology," in Proc. 42th IEEE Conf. Decision and Control, Maui, Hawaii, Dec. 2003, pp. 2016-2021.
9. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in multi-agent networked systems," Proceedings of the IEEE, vol. 45, no. 1, pp. 215-233, Jan. 2007.
10. J. 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, Sep. 2004.
11. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and cooperation in multi-agent networked systems," Proceedings of the IEEE, vol. 45, no. 1, pp. 215-233, Jan. 2007.
12. W. Ren, R. W. Beard, and E. M. Atkins, "Information consensus in multivehicle cooperative control: Collective group behavior through local interaction," IEEE Control Systems Magazine, vol. 27, no. 2, pp. 71-82, Feb. 2007.
13. N. Hovakimyan, E. Lavretsk, Bong-jun Yang, and anthony J. Calise, "Coordinated decentralized adaptive output feedback control of interconnected systems," IEEE Trans. Neural Netw., vol. 16, no. 11, pp. 185-194, Nov. 2005.
14. N. A. Lynch, Distributed Algorithms, San Mateo, CA: Morgan Kaufmann, 1997.
15. M. H. DeGroot, "Reaching a consensus," Journal of American Statistical Association, vol 69, no. 345, pp. 118-121, 1974.
16. J. A. Benediktsson and P. H. Swain, "Consensus theoretic classification methods," IEEE Trans. on Systems, Man and Cybernetics, vol. 22, no. 4, pp 688-704, Apr. 1992.
17. T. Vicsek, A. Czirook, E. Ben-Jacob, I. Cohen, and O. Shochet. "Novel type of phase transition in a system of self-deriven particles," Phys. Rev. Lett., vol. 75, no. 6, pp.1226-1229, 1995.
18. A. Jadbabaie, J. Lin, and S. A. Morse, "Coordination of groups of mobile autonomous agents using nearest neighbor rules," IEEE Trans. Autom. Control, vol. 48, no. 6, pp. 988-1001, June 2003.
19. W. Ren and R. W. Beard, "Consensus seeking in multi-agent systems under dynamically changing interaction topologies," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 169-182, Feb. 2005.
20. 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.
21. M. Fiedler, "Algebraic connectivity of graphs," Czech. Math. J., vol. 23, no. 98, pp. 298-305, 1973.
22. Y. Kim and M. Mesbahi, "On maximizing the second smallest eigenvalue of a state-dependent graph Laplacian," IEEE Trans. Autom. Control, vol. 51, no. 1, pp. 116-120, Jan. 2006.
23. Z. Lin, B. Francis, and M. Maggiore, "State agreement for continuous-time coupled nonlinear system," SIAM J. Control Optim., vol. 46, no. 1, pp. 288-307, Jan. 2007.
24. D. Bauso, L. Giarre, and R. Pesenti, "Nonlinear protocols for optimal distributed consensus in networks of dynamic agents," Systems and Control Letters, vol. 55, no. 11, pp. 918-928, Nov. 2006.
25. J. N. Tsitsiklis, D. P. Bertsekas, and M. Athans, "Distributed asynchronous deterministic and stochastic gradient optimization algorithms," IEEE Trans. Autom. Control, vol. 31, no. 9, pp. 803-812, Sep. 1986.
26. L.Moreau, "Stability of multi-agent systems with time-dependent communication links," IEEE Trans. Autom. Control, vol. 50, no. 2, pp. 169-182, Feb. 2005.
27. J. Cortes, "Finite-time convergent gradient flows with applications to network consensus," Automatica, vol. 44, no. 3, pp. 726-737, 2008.
28. G. Ayres de Castro and F. Paganini, "Convex synthesis of controllers for consensus," in Proc. Amer. Control Conf., Boston, MA, June. 2004, pp. 4933-4938.
29. R. W. Beard and V. Stepanyan, "Information consensus in distributed multiple vehicle coordinated control," in Proc. 42th IEEE Conf. Decision and Control, Maui, Hawaii, Dec. 2003, pp. 2029-2034.
30. W. Ren and R. W. Mclain, "Coordination variables and consensus building in multiple vechicles systems," in Lecture Notes in Control and Information Sciences, vol. 309, V. Kumar, N. Leonard and A. S. Morse, Eds., Berlin: Springer-Verlag, 2005, pp. 171-188.
31. R. A. Horn and C. R. Johnson, Matrix Analysis. Cambridge, U.K.: Cambridge Univ. Press, 1987.