Leader-following consensus of non-linear multi-agent systems with jointly connected topology

IET Control Theory and Applications

Volumn 8, Issue 6, 2014, Pages 432-440

  Xu, Wenying ^a   Cao, Jinde ^a,b   Yu, Wenwu ^a,c   Lu, Jianquan ^a  

^a SOUTHEAST UNIVERSITY   (China)

^b KING ABDULAZIZ UNIVERSITY   (Saudi Arabia)

^c RMIT UNIVERSITY   (Australia)

Author keywords

[No Author keywords available]

Indexed keywords

NUMERICAL METHODS; TOPOLOGY;

JOINTLY CONNECTED; LEADER FOLLOWING; NON-LINEAR MODEL;

MULTI AGENT SYSTEMS;

EID: 84897439622     PISSN: 17518644     EISSN: 17518652     Source Type: Journal    
DOI: 10.1049/iet-cta.2013.0813     Document Type: Article

References (41)

1. Cucker, F., Smale, S.: 'Emergent behaviour in flocks', IEEE Trans. Autom. Control, 2007, 52, (5), pp. 852-862
2. Jadbabaie, A., Lin, J., Morse, A.S.: 'Coordination of groups of mobile autonomous agents using nearest neighbor rules', IEEE Trans. Autom. Control, 2003, 48, (6), pp. 988-1001
3. Olfati-Saber, R., Murray, R.M.: 'Consensus problems in networks of agents with switching topology and time-delays', IEEE Trans. Autom. Control, 2004, 49, (9), pp. 1520-1533
4. Cao, M., Morse, A.S., Anderson B.D.O.: 'Reaching a consensus in a dynamically changing environment: a graphical approach', SIAM J. Control Optim., 2008, 47, (2), pp. 575-600
5. Pulliam, R.H.: 'On the advantages of flocking', J. Theoret. Biol., 1973, 38, (2), pp. 419-422
6. Topaz, C.M., Bertozzi, A.L.: 'Swarming patterns in a two-dimensional kinematic model for biological groups', SIAM J. Appl. Math., 2004, 65, (1), pp. 152-174
7. Cao, Y., Yu, W., Ren, W., Chen, G.: 'An overview of recent progress in the study of distributed multi-agent coordination', IEEE Trans. Ind. Inf., 2013, 9, (1), pp. 427-438
8. Pecora, L.M., Carroll, T.L.: 'Synchronization in chaotic systems', Phys. Rev. Lett., 1990, 64, (8), pp. 821-824
9. He, W., Cao, J.: 'Exponential synchronization of hybrid coupled networks with delayed coupling', IEEE Trans. Neural Netw., 2010, 21, (4), pp. 571-583
10. Lu, J., Yu, X., Chen, G., Cheng, D.: 'Characterizing the synchronizability of small-world dynamical networks', IEEE Trans. Circuits Syst. I, Regul. Pap. 2004, 51, (4), pp. 787-796
11. Nielsen, E.T., Greve, H.: 'Bulletin of Entomological Research' (Cambridge University Press, 1950)
12. Chen, Z., Zhang, H.T.: 'No-beacon collective circular motion of jointly connected multi-agents', Automatica, 2011, 47, (9), pp. 1929- 1937
13. Olfati-Saber, R.: 'Flocking for multi-agent dynamic systems: algorithms and theory', IEEE Trans. Autom. Control, 2006, 51, (3), pp. 401-420
14. Zhu, J., Lu, J., Yu, X.: 'Flocking of multi-agent non-holonomic systems with proximity graphs', IEEE Trans. Circuits Syst. I, Regul. Pap., 2013, 60, (1), pp. 199-210
15. Fax, J.A., Murray, R.M.: 'Information flow and cooperative control of vehicle formations', IEEE Trans. Autom. Control, 2004, 49, (9), pp. 1465-1476
16. Ren, W., Beard, R.W.: 'Consensus seeking in multiagent systems under dynamically changing interaction topologies', IEEE Trans. Autom. Control, 2005, 50, (5), pp. 655-661 (Pubitemid 40784437)
17. Vicsek, T., Czirók, A., Ben-Jacob, E., Cohen, I., Shochet, O.: 'Novel type of phase transition in a system of self-driven particles', Phys. Rev. Lett., 1995, 75, (6), pp. 1226-1229
18. Chen, Y., Lu, J., Lin, Z.: 'Consensus of discrete-time multi-agent systems with transmission nonlinearity', Automatica, 2013, 49, (6), pp. 1768-1775
19. Yu, W., Chen, G., Cao, M.: 'Some necessary and sufficient conditions for second-order consensus in multi-agent dynamical systems', Automatica, 2010, 46, (6), pp. 1089-1095
20. Patterson, S., Bamieh, B., El Abbadi, A.: 'Convergence rates of distributed average consensus with stochastic link failures', IEEE Trans. Autom. Control, 2010, 55, (4), pp. 880-892
21. Lu, J., Ho, D.W.C., Kurths, J.: 'Consensus over directed static networks with arbitrary finite communication delays'. Phys. Rev. E, 2009, 80, (6), pp. 066121
22. Yang, S., Cao, J., Lu, J.: 'A new protocol for finite-time consensus of detail-balanced multi-agent networks', Chaos, 2012, 22, (4), p. 043134
23. Yu, W., Chen, G., Cao, M.: 'Consensus in directed networks of agents with nonlinear dynamics': IEEE Trans. Autom. Control, 2011, 56, (6), pp. 1436-1441
24. Song, Q., Cao, J., Yu, W.: 'Second-order leader-following consensus of nonlinear multi-agent systems via pinning control': Syst. Control Lett., 2010, 59, (9), pp. 553-562
25. Ren, W., Moore, K., Chen, Y.Q.: 'High-order consensus algorithms in cooperative vehicle systems'. Proc. the 2006 IEEE Int. Conf. Netw., Sensing Control, 2006, pp. 457-462 (Pubitemid 46900530)
26. Yu, W., Chen, G., Ren, W., Kurths, J., Zheng, W.: 'Distributed higher order consensus protocols in multiagent dynamical systems', IEEE Trans. Circuits Syst. I Regul. Pap., 2011, 58, (8), pp. 1924-1932
27. Ni, W., Cheng, D.: 'Leader-following consensus of multi-agent systems under fixed and switching topologies', Syst. Control Lett., 2010, 59, (3), pp. 209-217
28. Cheng, D., Wang, J., Hu, X.: 'An extension of lasalle's invariance principle and its application to multi-agent consensus', IEEE Trans. Autom. Control, 2008, 53, (7), pp. 1765-1770
29. Lin, P., Jia, Y.: 'Consensus of a class of second-order multi-agent systems with time-delay and jointly-connected topologies', IEEE Trans. Autom. Control, 2010, 55, (3), pp. 778-784
30. Lu, J., Chen, G.: 'A Time-Varying Complex Dynamical Network Model and Its Controlled Synchronization Criteria' IEEE Trans. Autom. Control, 2005, 50, (6), pp. 841-846 (Pubitemid 40902708)
31. Xiao, F., Wang., L.: 'Consensus protocols for discrete-time multiagent systems with time-varying delays', Automatica, 2008, 44, (10), pp. 2577-2582
32. Lin, P., Jia, Y.: 'Consensus of second-order discrete-time multiagent systems with nonuniform time-delays and dynamically changing topologies', Automatica, 2009, 45, (9), pp. 2154-2158
33. Wen, G., Duan, Z., Chen, G., Yu, W.: 'Consensus tracking of multi-agent systems with Lipschitz-type node dynamics and switching topologies'. IEEE Trans. Circuits Syst. I, Regul. Pap., 2013, doi: 10.1109/TCSI.2013.2268091
34. Moreau, L., 'Stability of multiagent systems with time-dependent communication links', IEEE Trans. Autom. Control, 2005, 50, (2), pp. 169-182 (Pubitemid 40319348)
35. Wen, G., Duan, Z., Ren, W., Chen, G.: 'Distributed consensus of multi-agent systems with general linear node dynamics and intermittent communications', Int. J. Robust Nonlinear Control, 2013, doi: 10.1002/rnc.3001
36. Lu, J., Brown, L.J.: 'A multiple lyapunov functions approach for stability of switched systems'. Amer. Control Conf., Baltimore, MD, June 2010, pp. 3253-3256
37. Su, Y., Huang, J.: 'Stability of a class of linear switching systems with applications to two consensus problems', IEEE Trans. Autom. Control, 2012, 57, (6), pp. 1420-1430
38. Godsil, C.D., Royle, G.: 'Algebraic graph theory' (Springer New York, 2001)
39. Horn, R.A., Johnson, C.R.: 'Matrix analysis' (Cambridge University Press, 1990)
40. Lu, J., Ho, D. W. C., Cao, J.: 'A unified synchronization criterion for impulsive dynamical networks', Automatica, 2010, 46, (7), pp. 1215- 1221
41. Song, Q., Cao, J., Liu, F.: 'Pinning-controlled synchronization of hybrid-coupled complex dynamical networks with mixed time-delays', Int. J. Robust Nonlinear Control, 2012, 22, (6), pp. 690-706