Stability of leaderless discrete-time multi-agent systems

Mathematics of Control, Signals, and Systems

Volumn 18, Issue 4, 2006, Pages 293-322

  Angeli, David ^a   Bliman, Pierre Alexandre ^b  

^a UNIVERSITY OF FLORENCE   (Italy)

^b INRIA ROCQUENCOURT   (France)

Author keywords

Asymptotic stability; Directed graphs; Discrete time systems; Multi agent systems; Rendezvous problem; Time delays

Indexed keywords

ASYMPTOTIC STABILITY; CONVERGENCE OF NUMERICAL METHODS; DELAY CONTROL SYSTEMS; DISCRETE TIME CONTROL SYSTEMS; GRAPH THEORY; SYSTEM STABILITY;

DIRECTED GRAPHS; DISCRETE-TIME MULTI-AGENT SYSTEMS; RENDEZVOUS PROBLEM; TIME DELAYS;

MULTI AGENT SYSTEMS;

EID: 33749009043     PISSN: 09324194     EISSN: 1435568X     Source Type: Journal    
DOI: 10.1007/s00498-006-0006-0     Document Type: Article

References (23)

1. Ando H, Oasa Y, Suzuki I, Yamashita M (1999) Distributed memoryless point convergence algorithm for mobile robots with limited visibility. IEEE Tran Robotic Autom 15(5): 818-828
2. Aubin JP, Cellina A (1984) Differential inclusions: Set-valued maps and viability theory. Springer, Berlin Heidelberg New York
3. Bertsekas DP, Tsitsiklis JN (1989) Parallel and distributed computation. Prentice-Hall republished by Athena Scientific, 1997, and also downloadable at https://dspace.mit.edu/handle/1721.1/3719
4. Blondel VD, Hendrickx JM, Olshevsky A, Tsitsiklis JN (2005) Convergence in multiagent coordination, consensus, and flocking. In: Proceedings of the Joint European Control Conference/IEEE Conference on Decision and Control, Sevilla, Spain
5. Cortés J, Martínez S, Bullo F (2006) Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions. IEEE Trans Autom Control 51(6) (in press)
6. Fax JA, Murray RM (2004) Information flow and cooperative control of vehicle formations. IEEE Trans Autom Control 49(9): 1465-1476
7. Gade PM (1998) Feedback control in coupled map lattices. Phys Rev E 57(6): 7309-7312
8. Gupta V, Hassibi B, Murray RM (2003) Stability analysis of stochastically varying formations of dynamic agents. In: Proceedings of the 42nd IEEE Conference on Decision and Control, Maui HI, USA, pp. 504-509
9. Hatano Y, Mesbahi M (2005) Agreement over random networks. IEEE Trans Autom Control 50(11): 1867-1872
10. Hirsch MW (1989) Convergent activation dynamics in continuous time networks. Neural Networks 2: 331-349
11. Jadbabaie A, Lin J, Morse AS (2003) Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Autom Control 48(6): 988-1001
12. Jadbabaie A, Motee N, Barahona M (2004) On the stability of the Kuramoto model of coupled nonlinear oscillators. In: Proceedings of the American Control Conference, Boston MS, USA
13. Johansson KH, Speranzon A, Zampieri S (2005) On quantization and communication topologies in multi-vehicle rendezvous. In: Proceedings of 16th IFAC World Congress, Prague, Czech Republic
14. Leonard NE, Fiorelli E (2001) Virtual leaders, artificial potentials and coordinated control of groups. In: Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, USA, pp. 2968-2973
15. Lin J, Morse AS, Anderson BDO (2003) The multi-agent rendezvous problem. In: Proceedings of the 42nd IEEE Conference on Decision and Control, Maui HI, USA, pp. 1508-1513
16. Lin J, Morse AS, Anderson BDO (2005) The multi-agent rendezvous problem. An extended summary. Cooperative control, Lecture Notes in Control and Inform. Sci. 309, Springer, Berlin Heidelberg New York, pp. 257-289
17. Manrubia SC, Mikhailov AS (1999) Mutual synchronization and clustering in randomly coupled chaotic dynamical networks, Phys Rev E 60: 1579, also downloadable at arXiv:cOnd-mat/9905083
18. Moreau L (2003) Time-dependent unidirectional communication in multi-agent systems, arXiv:mAth.OC/0306426
19. Moreau L (2004) A note on leaderless communication via bidirectional and unidirectional time-dependent communication. In: Proceedings of MTNS-04, Leuven, Belgium
20. Moreau L (2005) Stability of multi-agent systems with time-dependent communication links. IEEE Trans Autom Control 50(2): 169-182
21. Savkin AV (2004) Coordinated collective motion of groups of autonomous mobile robots: Analysis of Vicsk's model. IEEE Trans Autom Control 49(6): 981-983
22. Sepulchre R, Paley D, Leonard N (2003) Collective motion and oscillator synchronization. In: Proceedings of the Block Island Workshop on Cooperative Control
23. Yang L, Passino KM, Polycarpou MM (2003) Stability analysis of M-dimensional asynchronous swarms with a fixed communication topology. IEEE Trans Autom Control 48(1): 76-95