Impulsive consensus seeking in directed networks of multi-agent systems with communication time delays

International Journal of Systems Science

Volumn 43, Issue 8, 2012, Pages 1479-1491

  Wu, Quanjun ^a,b   Zhou, Jin ^a   Xiang, Lan ^a  

^a SHANGHAI UNIVERSITY   (China)

^b SHANGHAI UNIVERSITY OF ELECTRIC POWER   (China)

Author keywords

average consensus; directed networked multi agent system; impulsive consensus protocol; stochastic switching topology; time delay

Indexed keywords

AVERAGE CONSENSUS; COMMUNICATION TIME DELAYS; DIRECTED NETWORK; ILLUSTRATIVE EXAMPLES; IMPULSIVE CONSENSUS PROTOCOLS; IMPULSIVE EFFECTS; IMPULSIVE INTERVALS; MULTI AGENT SYSTEM (MAS); STOCHASTIC SWITCHING; THEORETICAL RESULT;

COMPUTER SIMULATION; STOCHASTIC SYSTEMS; TIME DELAY; TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 84863644148     PISSN: 00207721     EISSN: 14645319     Source Type: Journal    
DOI: 10.1080/00207721.2010.547630     Document Type: Article

References (35)

1. Bliman, P., and Ferrari-Trecate, G. (2008), 'Average Consensus Problems in Networks of Agents with Delayed Communications', Automatica, 44, 1985-1995.
2. Dimarogonas, D.V., and Kyriakopoulos, K.J. (2007), 'On the Rendezvous Problem for Multiple Nonholonomic Agents', IEEE Transaction on Automatic Control, 52, 916-922.
3. Fax, J.A., and Murray, R.M. (2004), 'Information Flow and Cooperative Control of Vehicle Formations', IEEE Transaction on Automatic Control, 49, 1465-1476.
4. Gazi, V., and Passino, K.M. (2003), 'Stability Analysis of Swarms', IEEE Transaction on Automatic Control, 48, 692-697.
5. Gazi, V., and Passino, K.M. (2004), 'Stability Analysis of Social Foraging Swarms', IEEE Transaction on System, Man, and Cybernetics-B, 34, 539-557.
6. Guan, Z.H., Chan, C.W., Leung, A.Y., and Chen, G.R. (2001), 'Robust Stabilization of Singular-impulsivedelayed Systems with Nonlinear Perturbations', IEEE Transactions on Circuits and Systems-I, Fundamental Theory and Application, 48, 1011-1019.
7. Han, X.P., Lu, J.A., and Wu, X.Q. (2008), 'Synchronization of Impulsively Coupled Systems', International Journal of Bifurcation and Chaos, 18, 1539-1549.
8. Hong, Y.G., Gao, L.X., Cheng, D.Z., and Hu, J.P. (2007), 'Lyapunov-based Approach to Multiagent Systems with Switching Jointly Connected Interconnection', IEEE Transaction on Automatic Control, 52, 943-948.
9. Hong, Y.G., Hu, J.P., and Gao, L.X. (2006), 'Tracking Control for Multi-agent Consensus with an Active Leader and Variable Topology', Automatica, 42, 1177-1182.
10. Hu, J.P., and Hong, Y.G. (2007), 'Leader-following Coordination of Multi-agent Systems with Coupling Time Delays', Physica A, 374, 853-863.
11. Jadbabaie, A., Lin, J., and Morse, A.S. (2003), 'Coordination of Groups of Mobile Autonomous Agents Using Nearest Neighbor Rules', IEEE Transaction on Automatic Control, 48, 988-1001.
12. Jiang, H.B., Yu, J.J., and Zhou, C.G. (2008), 'Robust Fuzzy Control of Nonlinear Fuzzy Impulsive Systems with Timevarying Delay', IET Control Theory and Applications, 2, 654-661.
13. Jiang, H.B., Yu, J.J., and Zhou, C.G. (2010), 'Consensus of Multi-agent Linear Dynamic Systems via Impulsive Control Protocols', International Journal of Systems Science, doi: 10.1080/00207720903267866.
14. Karimi, H.R., Zapateiro, M., and Luo, N. (2010), 'An LMI Approach to Vibration Control of Base-isolated Building Structures with Delayed Measurements', International Journal of Systems Science, 41, 1511-1523.
15. Kingston, D.B., and Beard, R.W. (2006), 'Discrete-time Average-consensus Under Switching Network Topologies', in Proceedings of the 2006 American Control Conference, Minneapolis, Minnesota, USA, 14-16 June 2006, pp. 3551-3556.
16. Koshkouei, A.J., and Burnham, K.J. (2010), 'Discontinuous Observers for Non-linear Time-delay Systems', International Journal of Systems Science, 40, 383-392.
17. Lawton, J.R., and Beard, R.W. (2002), 'Synchronized Multiple Spacecraft Rotations', Automatica, 38, 1359-1364.
18. Li, K. (2010), 'Impulsive Effect on Global Exponential Stability of BAM Fuzzy Cellular Neural Networks with Time-varying Delays', International Journal of Systems Science, 41, 131-142.
19. Lin, Z.Y., Francis, B., and Maggiore, M. (2005), 'Necessary and Sufficient Graphical Conditions for Formation Control of Unicycles', IEEE Transaction on Automatic Control, 50, 121-127.
20. Lin, P., and Jia, Y.M. (2008), 'Average Consensus in Networks of Multi-agents with Both Switching Topology and Coupling Time-delay', Physica A, 387, 303-313.
21. Moreau, L. (2005), 'Stability of Multiagent Systems with Time-dependent Communication Links', IEEE Transaction on Automatic Control, 50, 169-182.
22. Moshtagh, N., and Jadbabaie, A. (2007), 'Distributed Geodesic Control Laws for Flocking of Nonholonomic Agents', IEEE Transaction on Automatic Control, 52, 681-686.
23. Olfati-Saber, R. (2006), 'Flocking for Multi-agent Dynamic Systems: Algorithms and Theory', IEEE Transaction on Automatic Control, 51, 401-420.
24. Olfati-Saber, R., and Murray, R.M. (2004), 'Consensus Problems in Networks of Agents with Switching Topology and Time-delays', IEEE Transaction on Automatic Control, 49, 1520-1533.
25. Ren, W., and Beard, R.W. (2005), 'Consensus Seeking in Multiagent Systems Under Dynamically Changing Interaction Topologies', IEEE Transaction on Automatic Control, 50, 655-661.
26. Sun, Y.G., and Wang, L. (2009), 'Consensus of Multi-agent Systems in Directed Networks with Nonuniform Timevarying Delays', IEEE Transaction on Automatic Control, 54, 1607-1613.
27. Sun, Y.G., Wang, L., and Xie, G.M. (2008), 'Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-varying Delays', Systems & Control Letters, 57, 175-183.
28. Vicsek, T., Czirok, A., Jacob, E.B., Cohen, I., and Schochet, O. (1995), 'Novel Type of Phase Transition in a System of Self-driven Particles', Physical Review Letters, 75, 1226-1229.
29. Wu, Q.J., Xiang, L., and Zhou, J. (2009), 'Average Consensus in Delayed Networks of Dynamic Agents with Impulsive Effects', Lecture Notes in ICST (Part 1, 4), Berlin: Springer-Verlag, pp. 1124-1138.
30. Wu, Q.J., Zhou, J., and Xiang, L. (2010a), 'Global Exponential Stability of Impulsive Differential Equations with any Time Delays', Applied Mathematics Letters, 23, 143-147.
31. Wu, Q.J., Zhou, J., and Xiang, L. (2010b), 'Impulses-induced Exponential Stability in Recurrent Delayed Neural Networks', Neurocomputing (accepted).
32. Yang, Z.C., and Xu, D.Y. (2005), 'Stability Analysis of Delay Neural Networks with Impulsive Effects', IEEE Transactions on Circuits and Systems-II: Express Briefs, 52, 517-521.
33. Zhou, J., and Chen, T.P. (2006), 'Synchronization in General Complex Delayed Dynamical Networks', IEEE Transactions on Circuits and Systems-I, Regular Papers, 53, 733-744.
34. Zhou, J., and Wu, Q.J. (2009), 'Exponential Stability of Impulsive Delayed Linear Differential Equations', IEEE Transactions on Circuits and Systems-II: Express Briefs, 56, 744-748.
35. Zhou, J., Xiang, L., and Liu, Z.R. (2007), 'Synchronization in Complex Delayed Dynamical Networks with Impulsive Effects', Physica A, 384, 684-692.