Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems

Automatica

Volumn 46, Issue 6, 2010, Pages 1089-1095

  Yu, Wenwu ^a,b   Chen, Guanrong ^a   Cao, Ming ^c  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b SOUTHEAST UNIVERSITY   (China)

^c UNIVERSITY OF GRONINGEN   (Netherlands)

Author keywords

Algebraic connectivity; Directed spanning tree; Multi agent system; Second order consensus

Indexed keywords

ALGEBRAIC CONNECTIVITY; COMMUNICATION DELAYS; CONSENSUS ALGORITHMS; CRITICAL VALUE; EIGENVALUES; IMAGINARY PARTS; LAPLACIAN MATRICES; MULTI-AGENT; NETWORK TOPOLOGY; SECOND ORDERS; SECOND-ORDER DYNAMICS; SIMULATION EXAMPLE; SPANNING TREE; SUFFICIENT CONDITIONS;

ALGEBRA; ASYMPTOTIC ANALYSIS; DYNAMICAL SYSTEMS; EIGENVALUES AND EIGENFUNCTIONS; ELECTRIC NETWORK TOPOLOGY; PARALLEL ARCHITECTURES;

MULTI AGENT SYSTEMS;

EID: 77953129248     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2010.03.006     Document Type: Article

References (33)

1. Bliman P., and Ferrari-Trecate G. Average consensus problems in networks of agents with delayed communications. Automatica 44 (2008) 1985-1995
2. Cao M., Morse A.S., and Anderson B.D.O. Reaching a consensus in a dynamically changing environment: a graphical approach. SIAM Journal on Control and Optimization 47 (2008) 575-600
3. Fiedler M. Algebraic connectivity of graphs. Czechoslovak Mathematical Journal 23 (1973) 298-305
4. Godsil C., and Royle G. Algebraic graph theory (2001), Springer-Verlag, New York
5. Hong Y., Chen G., and Bushnell L. Distributed observers design for leader-following control of multi-agent networks. Automatica 44 (2008) 846-850
6. Hong Y., Hu J., and Gao L. Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006) 1177-1182
7. Horn R.A., and Johnson C.R. Matrix analysis (1985), Cambridge University Press, Cambridge, UK
8. Horn R.A., and Johnson C.R. Topics in matrix analysis (1991), Cambridge University Press, Cambridge, UK
9. Jadbabaie A., Lin J., and Morse A.S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Transactions on Automatic Control 48 6 (2003) 985-1001
10. Lü J., and Chen G. A time-varying complex dynamical network models and its controlled synchronization criteria. IEEE Transactions on Automatic Control 50 6 (2005) 841-846
11. Olfati-Saber R. Consensus problems in networks of agents with switching topology and time-delays. IEEE Transactions on Automatic Control 49 9 (2004) 1520-1533
12. Olfati-Saber R. Flocking for multi-agent dynamic systems: algorithms and theory. IEEE Transactions on Automatic Control 51 (2006) 401-420
13. Pecora L.M., and Carroll T.L. Synchronization in chaotic systems. Physical Review Letters 64 8 (1990) 821-824
14. Ren, W. (2007). Second-order consensus algorithm with extensions to switching topologies and reference models. In Proceedings of the 2007 American control conference (pp. 1431-1436).
15. Ren W. On consensus algorithms for double-integrator dynamics. IEEE Transactions on Automatic Control 58 6 (2008) 1503-1509
16. Ren, W., & Atkins, E. (2005). Second-order consensus protocols in multiple vehicle systems with local interactions. In AIAA guidance, navigation, and control conference and exhibit, San Francisco, California.
17. Ren W., and Beard R.W. Consensus seeking in multiagent systems under dynamically changing interaction topologies. IEEE Transactions on Automatic Control 50 5 (2005) 655-661
18. Ren W., and Beard R.W. Distributed consensus in multi-vehicle cooperative control (2008), Springer-Verlag, London
19. Reynolds C.W. Flocks, herds, and schools: a distributed behavior model. Computer Graphics 21 4 (1987) 25-34
20. Rudin W. Principles of mathematical analysis (1976), McGraw-Hill Book Co., New York, Auckland, Dusseldorf
21. Tian Y., and Liu C. Consensus of multi-agent systems with diverse input and communication delays. IEEE Transactions on Automatic Control 53 (2008) 2122-2128
22. Vicsek T., Cziok A., Jacob E.B., Cohen I., and Shochet O. Novel type of phase transition in a system of self-driven particles. Physical Review Letters 75 6 (1995) 1226-1229
23. Wu C., and Chua L.O. Synchronization in an array of linearly coupled dynamical systems. IEEE Transactions on Circuits and Systems. I 42 8 (1995) 430-447
24. Yu W., and Cao J. Stability and Hopf bifurcation analysis on a four-neuron BAM neural network with time delays. Physics Letters. A 351 1-2 (2006) 64-78
25. Yu W., and Cao J. Stability and Hopf bifurcation on a two-neuron system with time delay in the frequency domain. International Journal of Bifurcation and Chaos 17 4 (2007) 1355-1366
26. Yu W., Cao J., Chen G., Lü J., Han J., and Wei W. Local synchronization of a complex network model. IEEE Transactions on Systems, Man, and Cybernetics, Part B 39 1 (2009) 230-441
27. Yu W., Cao J., and Chen G. Stability and Hopf bifurcation of a general delayed recurrent neural network. IEEE Transactions on Neural Networks 19 5 (2008) 845-854
28. Yu W., Cao J., and Lü J. Global synchronization of linearly hybrid coupled networks with time-varying delay. SIAM Journal on Applied Dynamical Systems 7 1 (2008) 108-133
29. Yu, W., Chen, G., Cao, M., & Kurths, J. (2009). Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics. IEEE Transactions on Systems, Man, and Cybernetics, Part B, in press (doi:10.1109/TSMCB.2009.2031624).
30. Yu W., Chen G., and Lü J. On pinning synchronization of complex dynamical networks. Automatica 45 (2009) 429-435
31. Yu W., Chen G., Wang Z., and Yang W. Distributed consensus filtering in sensor networks. IEEE Transactions on Systems, Man, and Cybernetics, Part B 39 6 (2009) 1568-1577
32. Zhou J., Lu J., and Lü J. Adaptive synchronization of an uncertain complex dynamical network. IEEE Transactions on Automatic Control 51 4 (2006) 652-656
33. Zhou J., Lu J., and Lü J. Pinning adaptive synchronization of a general complex dynamical network. Automatica 44 4 (2008) 996-1003