Flocking of multi-agent systems with a dynamic virtual leader

International Journal of Control

Volumn 82, Issue 1, 2009, Pages 43-58

  Shi, Hong ^a,b   Wang, Long ^b   Chu, Tianguang ^b  

^a BEIJING INSTITUTE OF PETROCHEMICAL TECHNOLOGY   (China)

^b PEKING UNIVERSITY   (China)

Author keywords

Collective dynamic behaviour; Flocking; Multiagent systems; Swarm intelligence; Virtual leader

Indexed keywords

AUTONOMOUS AGENTS; CELLULAR AUTOMATA; COMPUTER SIMULATION; ELECTRIC SHIP EQUIPMENT; MULTI AGENT SYSTEMS; TIME VARYING SYSTEMS; VELOCITY;

CENTRE OF MASSES; COLLECTIVE DYNAMIC BEHAVIOUR; CONTROL LAWS; CONVERGENCE RATES; DYNAMIC PROPERTIES; EUCLIDEAN SPACES; EXTERNAL-; FLOCKING; FLOCKING MOTIONS; NUMERICAL SIMULATIONS; REFERENCE SIGNALS; STABLE FLOCKINGS; STATE INFORMATIONS; SWARM INTELLIGENCE; SWITCHING CONTROLS; VIRTUAL LEADER; VIRTUAL LEADERS;

AGENTS;

EID: 54949140018     PISSN: 00207179     EISSN: 13665820     Source Type: Journal    
DOI: 10.1080/00207170801983091     Document Type: Article

References (22)

1. Chu, T., Wang, L., Chen, T., and Mu, S. (2006), 'Complex Emergent Dynamics of Anisotropic Swarms: Convergence vs Oscillation,' Chaos, Solitons and Fractals, 30, 875-885.
2. Clarke, F.H. (1983), Optimization and Nonsmooth Analysis, New York: Wiley.
3. Fax, J.A., and Murray, R.M. (2004), 'Information Flow and Cooperative Control of Vehicle Formations,' IEEE Transactions on Automatic Control, 49, 1465-1476.
4. Gazi, V., and Passino, K.M. (2003), 'Stability Analysis of Swarms,' IEEE Transactions on Automatic Control, 48, 692-697.
5. Godsil, C., and Royle, G. (2001), Algebraic Graph Theory, New York: Springer-Verlag.
6. Hong, Y., Hu, J., and Gao, L. (2006), 'Tracking Control for Multi-agent Consensus with an Active Leader and Variable Topology,' Automatica, 42, 1177-1182.
7. Horn, R.A., and Johnson, C.R. (1985), Matrix Analysis, New York: Cambridge Univ. Press.
8. Jadbabaie, A., Lin, J., and Morse, A.S. (2003), 'Coordination of Groups of Mobile Autonomous Agents using Nearest Neighbour Rules,' IEEE Transactions on Automatic Control, 48, 988-1001.
9. Leonard, N.E., and Fiorelli, E. (2001), 'Virtual Leaders, Artificial Potentials and Coordinated Control of Groups,' in Proceedings of the 40th IEEE Conf. Decision and Control, 3, pp. 2968-2973.
10. Lin, Z., Broucke, M., and Francis, B. (2004), 'Local Control Strategies for Groups of Mobile Autonomous Agents,' IEEE Transactions on Automatic Control, 49, 622-629.
11. 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.
12. Olfati-Saber, R. (2006), 'Flocking for Multi-agent Dynamic Systems: Algorithms and Theory,' IEEE Transactions on Automatic Control, 51, 401-420.
13. Paden, B., and Sastry, S. (1987), 'A Calculus for Computing Filippov's Differential Inclusion with Application to the Variable Structure Control of Robot Manipulators,' IEEE Transactions on Circuits and Systems, 34, 73-82.
14. Reynolds, C.W. (1987), 'Flocks, Herds, and Schools: A Distributed Behavioral Model,' in ACM SIGGRAPH '87 Conference Proceedings, Computer Graphics, 21, pp. 25-34.
15. Savkin, A.V. (2004), 'Coordinated Collective Motion of Groups of Autonomous Mobile Robots: Analysis of Vicsek's Model,' IEEE Transactions on Automatic Control, 49, 981-983.
16. Shevitz, D., and Paden, B. (1994), 'Lyapunov Stability Theory of Nonsmooth Systems,' IEEE Transactions on Automatic Control, 39, 1910-1914.
17. Shi, H., Wang, L., Chu, T., and Xu, M. (2005), 'Flocking Control of Multiple Interactive Dynamical Agents with Switching Topology via Local Feedback,' in Lecture Notes in Artificial Intelligence Berlin: Springer-Verlag, pp. 604-613.
18. Shi, H., Wang, L., Chu, T., and Xiao, F. (2006), 'Self-organization of General Multi-agent Systems with Complex Interactions,' in Proceedings of IEEE/RSJ International Conference on Intelligent Robots and Systems, Beijing, China, pp. 3203-3208.
19. Shi, H., Wang, L., and Chu, T. (2006a), 'Virtual Leader Approach to Coordinated Control of Multiple Mobile Agents with Asymmetric Interactions,' Physica D, 213, 51-65.
20. Tanner, H.G., Jadbabaie, A., and Pappas, G.J. (2007), 'Flocking in Fixed and Switching Networks,' IEEE Transactions on Automatic Control, 52, 863-868.
21. Tanner, H.G., Jadbabaie, A., and Pappas, G.J. (2003), 'Stable Flocking of Mobile Agents, Part I: Fixed Topology; Part II: Dynamic Topology,' in Proceedings of the 42nd IEEE Conference of Decision and Control, 2, pp. 2010-2015; 2016-2021.
22. Vicsek, T., Czirok, A., Ben-Jacob, E., Cohen, I., and Shochet, O. (1995), 'Novel Type of Phase Transition in a System of Self-driven Particles,' Physical Review Letters, 75, 1226-1229.