Leader following of nonlinear agents with switching connective network and coupling delay

IEEE Transactions on Circuits and Systems I: Regular Papers

Volumn 58, Issue 10, 2011, Pages 2508-2519

  Jia, Qiang ^a   Tang, Wallace K S ^a   Halang, Wolfgang A ^b  

^a CITY UNIVERSITY OF HONG KONG   (Hong Kong)

^b UNIVERSITY OF HAGEN   (Germany)

Author keywords

Complex network; leader follower; multiagent system; switching network

Indexed keywords

COMPLEX NETWORKS; LINEAR MATRIX INEQUALITIES; LYAPUNOV FUNCTIONS; MULTI AGENT SYSTEMS; SWITCHING NETWORKS; TOPOLOGY;

ASYMPTOTICAL STABILITY; COMMON LYAPUNOV FUNCTIONS; LEADER-FOLLOWER; LINEAR MATRIX INEQUALITY METHOD; NETWORK OF AGENTS; OPTIMIZATION SCHEME; STABILITY CONDITION; TIME VARYING- DELAYS;

STABILITY CRITERIA;

EID: 80053560311     PISSN: 15498328     EISSN: None     Source Type: Journal    
DOI: 10.1109/TCSI.2011.2131230     Document Type: Article

References (46)

1. I. D. Couzin, J. Krause, N. R. Franks, and S. A. Levin, "Effective leadership and decision-making in animal groups on the move," Nature, vol. 433, pp. 513-516, Feb. 2005. (Pubitemid 40204306)
2. W. Ren and R. W. Beard, Distributed Consensus in Multi-Vehicle Cooperative Control Theory and Applications. New York: Springer-Verlag, 2008.
3. W. Ren, "On consensus algorithms for double-integrator dynamics," IEEE Trans. Autom. Control, vol. 53, no. 6, pp. 1503-1509, Jul. 2008.
4. M. Barahona and L. M. Pecora, "Synchronization in small-world systems," Phys. Rev. Lett., vol. 89, p. 054101, Jul. 2002.
5. A. Arenas, A. Diaz-Guilera, J. Kurths, Y. Moreno, and C. Zhou, "Synchronization in complex networks," Phys. Rep., vol. 469, pp. 93-153, 2008.
6. C. W. Wu, Synchronization in Complex Networks of Nonlinear Dynamical Systems. Singapore: World Scientific, 2008.
7. C. Li and G. Chen, "Synchronization in general complex dynamical networks with coupling delays," Physica A, vol. 343, pp. 263-278, Nov. 2004.
8. Q. Zhang, J. Lu, J. Lu, and C. K. Tse, "Adaptive feedback synchronization of a general complex dynamical network with delayed nodes," IEEE Trans. Circuits Syst. II, Exp. Brief, vol. 55, no. 2, pp. 183-187, Feb. 2008.
9. Z. Duan, G. Chen, and L. Huang, "Synchronization of weighted networks and complex synchronized regions," Phys. Lett. A, vol. 372, no. 21, pp. 3741-3751, May 2008.
10. W. Yu, G. Chen, M. Cao, and J. Kurths, "Second-order consensus for multi-agent systems with directed topologies and nonlinear dynamics," IEEE Trans. Syst., Man, Cybern. B, vol. 40, no. 3, pp. 881-891, Jun. 2010.
11. J. Zhou, J. A. Lu, and J. H. Lü, "Adaptive synchronization of an uncertain complex dynamical network," IEEE Trans. Autom. Control, vol. 51, no. 4, pp. 652-656, Apr. 2006.
12. J. Lü and G.Chen, "Atime-varying complex dynamical network model and its controlled synchronization criteria," IEEE Trans. Autom. Control, vol. 50, no. 6, pp. 841-846, Jun. 2005. (Pubitemid 40902708)
13. 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.
14. R. 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.
15. H. G. Tanner, A. Jadbabaie, and G. J. Pappas, "Flocking in fixed and switching networks," IEEE Trans. Autom. Control, vol. 52, no. 5, pp. 863-868, May 2007. (Pubitemid 46796071)
16. J. Yu and L. Wang, "Group consensus in multi-agent systems with switching topologies and communication delays," Syst. Control Lett., vol. 59, no. 6, pp. 340-348, Jun. 2010.
17. Y. Sun and L. Wang, "Consensus of multi-agent systems in directed networks with nonuniform time-varying delays," IEEE Trans. Autom. Control, vol. 54, no. 5, pp. 1607-1613, Jun. 2009.
18. H. Su, X. Wang, and Z. Lin, "Flocking of multi-agents with a virtual leader," IEEE Trans. Autom. Control, vol. 54, no. 2, pp. 293-307, Feb. 2009.
19. Y. Cao and W. Ren, "Distributed coordinated tracking with reduced interaction via a variable structure approach," IEEE Trans. Autom. Control, 2010, 10.1109/TAC.2010.2049517.
20. J. P. Hu and Y. G. Hong, "Leader-following coordination of multi-agent systems with coupling time delays," Physica A, vol. 374, no. 2, pp. 853-863, Feb. 2007.
21. Y. Hong, J. Hua, and L. Gao, "Tracking control for multi-agent consensus with an active leader and variable topology," Automatica, vol. 42, no. 7, pp. 1177-1182, Jul. 2006. (Pubitemid 43767488)
22. G. Shi and Y. Hong, "Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies," Automatica, vol. 45, no. 5, pp. 1165-1175, May 2009.
23. T. Gustavi, D. V. Dimarogonas, M. Egerstedt, and X. Hua, "Sufficient conditions for connectivity maintenance and rendezvous in leader-follower networks," Automatica, vol. 46, no. 1, pp. 133-139, Jan. 2010.
24. K. Klemm, M. A. Serrano, V. M. Eguiluz, and M. S. Miguel, "A measure of individual role in collective dynamics: Spreading at criticality," [Online]. Available: http://arxiv.org/abs/1002.4042 2010
25. W. Ni and D. Cheng, "Leader-following consensus of multi-agent systems under fixed and switching topologies," Syst. Control Lett., vol. 59, no. 3-4, pp. 209-217, Mar.-Apr. 2010.
26. T. Liu and J. Zhao, "Synchronization of complex switched delay dynamical networks with simultaneously diagonalizable coupling matrices," J. Control Theory Appl., vol. 6, no. 4, pp. 351-356, Nov. 2008.
27. J. Zhao, D. J. Hill, and T. Liu, "Synchronization of complex dynamical networks with switching topology: A switched system point of view," Automatica, vol. 45, no. 11, pp. 2502-2511, Nov. 2009.
28. Z. Li, Z. Duan, G. Chen, and L. Huang, "Consensus of multiagent systems and synchronization of complex networks: A unified viewpoint," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 1, pp. 213-224, Jan. 2010.
29. T. Liu, J. Zhao, and D. J. Hill, "Exponential synchronization of complex delayed dynamical networks with switching topology," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 57, no. 11, pp. 2967-2980, Nov. 2010.
30. J. Zhou and T. Chen, "Synchronization in general complex delayed dynamical networks," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 53, no. 3, pp. 733-744, Mar. 2006.
31. J. Yao, H. O. Wang, Z.-H. Guan, and W. Xu, "Passive stability and synchronization of complex spatio-temporal switching networks with time delays," Automatica, vol. 45, no. 7, pp. 1721-1728, Jul. 2009.
32. W. Yu, J. Cao, and W. Lu, "Synchronization control of switched linearly coupled neural networks with delay," Neurocomputing, vol. 73, no. 4-6, pp. 858-886, Jan. 2010.
33. J. Lu, D. W. C. Ho, and L. Wu, "Exponential stabilization of switched stochastic dynamical networks," Nonlinearity, vol. 22, no. 4, pp. 889-911, 2009.
34. J. A. Sanders and F. Verhulst, Averaging Methods in Nonlinear Dynamical Systems. New York: Springer-Verlag, 1985.
35. D. J. Stilwell, E. M. Bollt, and D. G. Roberson, "Sufficient conditions for fast switching synchronization in time-varying network Topologies," SIAM J. Appl. Dyn. Syst., vol. 5, no. 1, pp. 140-156, 2006. (Pubitemid 43385199)
36. J. K. Hale, Theory of Functional Differential Equations. New York: Springer-Verlag, 1977.
37. A. J. Laub, Matrix Analysis for Scientists and Engineers. Philadelphia, PA: SIAM (Soc. Ind. Appl. Math.), 2004.
38. S. Boyd, L. E. Ghaoui, E. Feron, and V. Balakrishnan, Linear Matrix Inequalities in Systems and Control Theory, ser. SIAM Studies in Applied Mathematics. Philadelphia, PA: SIAM (Soc. Ind. Appl. Math.), 1994.
39. R. A. Horn and C. R. Johnson, Matrix Analysis. New York: Cambridge Univ. Press, 1985.
40. T. Matsumoto, L. O. Chua, and M. Komuro, "The double scroll," IEEE Trans. Circuits Syst., vol. CAS-32, no. 8, pp. 797-818, 1985.
41. D. J. Watts and S. H. Strogatz, "Collective dynamics of 'small-world' networks," Nature, vol. 393, pp. 440-442, Jun. 1998. (Pubitemid 28292183)
42. J. Chen, L. Wang, and F. Xiao, "Velocity-consensus control for networks of multiple double-integrators," in Proc. Joint 48th IEEE Conf. Decision Control 28th Chinese Control Conf., Shanghai, China, 2009, pp. 2052-2057.
43. T. Vicsek, A. Czirók, E. Ben-Jacob, I. Cohen, and O. Schochet, "Novel type of phase-transition in a system of self-driven particles," Phys. Rev. Lett., vol. 75, no. 6, pp. 1226-1229, 1995.
44. T. Faber, "Experience with active congestion control," in Proc. 2002 DARPA Active Netw. Conf. Expo., San Francisco, CA, 2002, pp. 132-142.
45. W. Yu, J. Cao, and J. Lü, "Global synchronization of linearly hyhrid coupled networks with time varying delay," SIAM J. Appl. Dyn. Syst., vol. 7, no. 1, pp. 108-133, 2008.
46. Y. He, G. P. Liu, and D. Rees, "New delay-dependent stability criteria for neural networks with time-varying delay," IEEE Trans. Neural Netw., vol. 18, no. 1, pp. 310-314, 2007. (Pubitemid 46062938)