Global target aggregation and state agreement of nonlinear multi-agent systems with switching topologies

Automatica

Volumn 45, Issue 5, 2009, Pages 1165-1175

  Shi, Guodong ^a,b   Hong, Yiguang ^a  

^a INSTITUTE OF SYSTEMS SCIENCE   (China)

^b UNIVERSITY OF CHINESE ACADEMY OF SCIENCES   (China)

Author keywords

Agents; Connectivity; Convex analysis; Coordination; Nonlinear systems; Set stability

Indexed keywords

AGREEMENT PROBLEMS; COLLECTIVE BEHAVIORS; CONNECTIVITY; CONVERGENCE PROBLEMS; CONVEX ANALYSIS; CONVEX SETS; COORDINATION; COORDINATION PROBLEMS; FIRST ORDERS; INTERCONNECTION TOPOLOGIES; LIMIT SETS; LOCAL RULES; MULTI AGENTS; SET STABILITY; SWITCHING TOPOLOGIES; TIME INTERVALS;

AGENTS; AUTONOMOUS AGENTS; GRAPH THEORY; NONLINEAR ANALYSIS; NONLINEAR SYSTEMS; SET THEORY; SYSTEM STABILITY;

MULTI AGENT SYSTEMS;

EID: 65049091919     PISSN: 00051098     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.automatica.2008.12.015     Document Type: Article

References (29)

1. Aubin J., and Cellina A. Differential inclusions (1984), Springer-Verlag, Berlin
2. Berge C., and Ghouila-Houri A. Programming, games and transportation networks (1965), John Wiley and Sons, New York
3. Clarke F.H., Ledyaev Yu.S., Stern R.J., and Wolenski P.R. Nonsmooth analysis and control theory (1998), Springer-Verlag
4. Cortés J. Finite-time convergent gradient flows with applications to network consensus. Automatica 42 (2006) 1993-2000
5. Chu T., Wang L., Chen T., and Mu S. Complex emergent dynamics of anisotropic swarms: Convergence vs. oscillation. Chaos, Solitons, and Fractals 30 7 (2006) 875-885
6. Couzin I.D., Krause J., Franks N., and Levin S. Effective leadership and decision making in animal groups on the move. Nature 433 (2005) 513-516
7. Danskin J. The theory of max-min, with applications. SIAM Journal on Applied Mathematics 14 (1966) 641-664
8. DeGroot M. Reach a consensus. Journal of the American Statistical Association 69 (1974) 118-121
9. Egerstedt M., and Hu X. Formation constrained multi-agent control. IEEE Transactions on Robotics and Automation 17 6 (2001) 947-951
10. Fax A., and Murray R.M. Information flow and cooperative control of vehicle formations. IEEE Transactions on Automatic Control 49 9 (2004) 1465-1476
11. Gazi V., and Passino K.M. Stability analysis of social foraging swarms. IEEE Transactions on Systems, Man, and Cybernetics, Part B 34 (2004) 539-557
12. Godsil C., and Royle G. Algebraic graph theory (2001), Springer-Verlag, New York
13. Hong Y., Gao L., Cheng D., and Hu J. Lyapunov-based approach to multi-agent systems with switching jointly connected interconnection. IEEE Transactions on Automatic Control 52 (2007) 943-948
14. Hong Y., Hu J., and Gao L. Tracking control for multi-agent consensus with an active leader and variable topology. Automatica 42 (2006) 1177-1182
15. Hu J., and Hong Y. Leader-following coordination of multi-agent systems with coupling time delays. Physica A 374 (2007) 853-863
16. Jadbabaie A., Lin J., and Morse A.S. Coordination of groups of mobile agents using nearest neighbor rules. IEEE Transactions on Automatic Control 48 6 (2003) 988-1001
17. Lin Z., Francis B., and Maggiore M. Necessary and sufficient graphical conditions for formation control of unicycles. IEEE Transactions on Automatic Control 50 1 (2005) 121-127
18. Lin Z., Francis B., and Maggiore M. State agreement for continuous-time coupled nonlinear systems. SIAM Journal on Control and Optimization 46 1 (2007) 288-307
19. Lynch N.A. Distributed algorithms (1997), Morgan Kaufmann, San Mateo, CA
20. Martinez S., Cortes J., and Bullo F. Motion coordination with distributed information. IEEE Control Systems Magazine 27 4 (2007) 75-88
21. Moreau L. Stability of multiagent systems with time-dependent communication links. IEEE Transactions on Automatic Control 50 (2005) 169-182
22. Oh S., Schenato L., Chen P., and Sastry S. Tracking and coordination of multiple agents using sensor networks: System design algorithms and experiments. Proceedings of the IEEE 95 (2007) 234-254
23. Olfati-Saber R., and Murray R. Consensus problems in the networks of agents with switching topology and time delays. IEEE Transactions on Automatic Control 49 9 (2004) 1520-1533
24. Ren W., and Beard R. Consensus seeking in multi-agent systems using dynamically changing interaction topologies. IEEE Transactions on Automatic Control 50 (2005) 665-671
25. Rockafellar R.T. Convex analysis (1972), Princeton University Press, New Jersey
26. Rouche N., Habets P., and Laloy M. Stability theory by Liapunov's direct method (1977), Springer-Verlag, New York
27. Tanner, H., Jadbabaie, A., & Pappas, G. (2003). Stable flocking of mobile agents, Part II: Dynamic topology. In Proc. IEEE Conf. on decision and control (pp. 2016-2021)
28. Tsitsiklis J., Bertsekas D., and Athans M. Distributed asynchronous deterministic and stochastic gradient optimization algorithms. IEEE Transactions on Automatic Control 31 (1986) 803-812
29. Vicsek T., Czirok A., Jacob E.B., Cohen I., and Schochet O. Novel type of phase transitions in a system of self-driven particles. Physical Review Letters 75 (1995) 1226-1229