Consensus seeking of high-order dynamic multi-agent systems with fixed and switching topologies

International Journal of Control

Volumn 83, Issue 2, 2010, Pages 404-420

  Jiang, Fangcui ^a   Wang, Long ^a  

^a PEKING UNIVERSITY   (China)

Author keywords

Consensus problems; Distributed control; High order dynamic agents; Multi agent systems; Switching topology; Time delays

Indexed keywords

COMMUNICATION TIME; CONSENSUS PROBLEMS; CONSENSUS PROTOCOLS; CONSTANT TIME; DISTRIBUTED CONTROL; DOUBLE/TRIPLE; HIGH-ORDER DYNAMICS; NONUNIFORM; NUMERICAL SIMULATION; PARAMETER DESIGNS; PARTIAL INFORMATION; SUFFICIENT CONDITIONS; SWITCHING TOPOLOGY; THEORETICAL RESULT;

COMMUNICATION; COMPUTER SIMULATION; DELAY CONTROL SYSTEMS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; GROUP DELAY; SWITCHING; TIME DELAY; TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 76249104202     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170903177774     Document Type: Article

References (32)

1. Cheng, D., Wang, J.H., and Hu, X.M. (2008), 'An Extension of LaSalles Invariance Principle and its Application to Multi-agent Consensus', IEEE Transactions on Automatic Control, 53(7), 1765-1770.
2. Fax, J.A., and Murray, R.M. (2004), 'Information Flow and Cooperative Control of Vehicle Formations', IEEE Transactions on Automatic Control, 49(9), 1465-1476.
3. Fiedler, M. (1973), 'Algebraic Connectivity of Graphs', Czechoslovak Mathematics Journal, 23, 298-305.
4. Godsil, C., and Royal, G. (2001), Algebraic Graph Theory, New York: Springer-Verlag.
5. Hale, J.K. (1977), Theory of Functional Differential Equations, New York: Springer-Verlag.
6. Heymann, M., and Wonham, W. (1968), 'Comments: On Pole Assignment in Multi-input Controllable Linear Systems', IEEE Transactions on Automatic Control, 13(6), 748-749.
7. Hong, Y.G., Gao, L., Cheng, D.Z, and Hu, J.P. (2007), 'Lyapunov-based Approach to Multi-agent Systems with Switching Jointly-connected Interconnection', IEEE Transactions on Automatic Control, 52, 943-948.
8. Horn, R.A., and Johnson, C.R. (1985), Matrix Analysis, New York: Cambridge University Press.
9. Hu, J.P., and Hong, Y.G. (2007), 'Leader-following Coordination of Multi-agent Systems with Coupling Time Delays', Physica A, 374(2), 853-863.
10. Huang, L. (2003), The Theoretical Foundation of Stability and Robustness, Beijing: Science Press. (in Chinese).
11. Jadbabaie, A., Lin, J., and Morse, A.S. (2003), 'Coordination of Groups of Mobile Autonomous Agents using Neaest Neighbor Rules', IEEE Transactions on Automatic Control, 48, 988-1001.
12. Kharitonov, V.L. (1978), 'On a Generalization of a Stability Criterion', Izvestiia Akademii nauk Kazakhskoi SSR, Seria fiziko-mathematicheskaia, 1, 53-57.
13. Lafferriere, G., Williams, A., Caughman, J., and Veerman, J.J.P. (2005), 'Decentralized Control of Vehicle Formations', Systems and Control Letters, 54(9), 899-910.
14. Lin, C.-T. (1974), 'Structural Controllability', IEEE Transactions on Automatic Control, AC-19, 201-208.
15. Lin, P., and Jia, Y.M. (2008), 'Distributed Control of Multiagent Systems with Second-order Agent Dynamics and Delay-dependent Communications', Asian Journal of Control, 10(2), 254-259.
16. Moore, K.L., and Lucarelli, D. (2007), 'Decentralized Adaptive Scheduling using Consensus Variables', International Journal of Robust and Nonlinear Control, 17, 921-940.
17. Olfati-Saber, R., and Murray, R.M. (2004), 'Consensus Problems in Networks of Agents with Switching Topology and Time-delays', IEEE Transactions on Automatic Control, 49, 1520-1533.
18. Porfiri, M., Roberson, D.G., and Stilwell, D.J. (2007), 'Tracking and Formation Control of Multiple Autonomous Agents: A Two-level Consensus Approach', Automatica, 43, 1318-1328.
19. Ren, W., and Beard, R.W. (2005), 'Consensus Seeking in Multiagent Systems Under Dynamically Changing Interaction Topologies', IEEE Transactions on Automatic Control, 50, 655-661.
20. Ren, W., and Atkins, E. (2007), 'Distributed Multi-vehicle Coordinated Control via Local Information Exchange', International Journal of Robust and Nonlinear Control, 17, 1002-1033.
21. Ren, W., Moore, K., and Chen, Y.Q. (2006), 'High-order Consensus Algorithms in Cooperative Vehicle Systems', in Proceeding of the 2006 IEEE International Conference on Networking, Sensing and Control Conference, pp. 457-462.
22. Ren, W., Moore, K., and Chen, Y.Q. (2007), 'High-order and Model Reference Consensus Algorithms in Cooperative Control of Multi-vehicle Systems', ASME Journal of Dynamic Systems, Measurement, and Control, 129(5), 678-688.
23. Scutari, G., Barbarossa, S., and Pescosolido, L. (2008), 'Distributed Decision Through Self-synchronizing Sensor Networks in the Presence of Propagation Delays and Asymmetric Channels', IEEE Transactions on Signal Processing, 56, 1667-1684.
24. Sontag, E.D. (1990), Mathematical Control Theory: Deterministic Finite Dimensional Systems, New York: Springer-Verlag.
25. Sun, Y., Wang, L., and Xie, G.M. (2008), 'Average Consensus in Networks of Dynamic Agents with Switching Topologies and Multiple Time-varying Delays', Systems and Control Letters, 57, 175-183.
26. Tanner, H., Jadbabaie, A., and Pappas, G. (2003), 'Stable Flocking of Mobile Agents, Part I: Fixed Topology', in Proceedings of 42nd IEEE Conference on Decision and control, Maui, Hawaii USA, December, 2003, pp. 2010-2015.
27. Vicsek, T., Czirok, A., Ben Jacob, E., Cohen, I., and Schochet, O. (1995), 'Novel Type of Phase Transition in a System of Self-driven Particles', Physical Review Letters, 75, 1226-1229.
28. Wieland, P., Kim, J., Scheu, H., and Allgöwer, F. (2008), 'On Consensus in Multi-agent Systems with Linear High-order Agents', in Proceedings of the 17th World Congress The International Federation of Automatic Control, Seoul, Korea, 2008, pp. 1541-1546.
29. Xiao, F., and Wang, L. (2007), 'Consensus Problems for High-dimensional Multi-agent Systems', IET Control Theory and Applications, 1(3), 830-837.
30. Xiao, L., Boyd, S., and Lall, S. (2005), 'A Scheme for Asynchronous Distributed Sensor Fusion Based on Average Consensus', in International Conference on Information Processing in Sensor Networks (IPSN05), Los Angeles, CA, April 2005, pp. 63-70.
31. Xie, G.M., and Wang, L. (2007), 'Consensus Control for a Class of Networks of Dynamic Agents', International Journal of Robust and Nonlinear Control, 17, 941-959.
32. Xie, X.K. (1963), 'On Stability Problem to the First Critical Case with One Zero Root', Special Issue on Basic Theory, Journal of Northeastern University (Natural Science), 2, 31-38 (in Chinese).