The multi-agent rendezvous problem. Part 1: The synchronous case

SIAM Journal on Control and Optimization

Volumn 46, Issue 6, 2007, Pages 2096-2119

  Lin, J ^a,b   Morse, A S ^c   Anderson, B D O ^d  

^a XEROX CORPORATION   (United States)

^b 21/F Central Plaza ^*  (China)

^c YALE UNIVERSITY   (United States)

^d AUSTRALIAN NATIONAL UNIVERSITY   (Australia)

Author keywords

Cooperative control; Distributed control; Multi agent systems

Indexed keywords

ACTIVE COMMUNICATIONS; COLLECTIVE BEHAVIORS; CONTROL STRATEGIES; COOPERATIVE CONTROL; DISTRIBUTED CONTROL; INDIVIDUAL AGENTS; MOBILE AUTONOMOUS AGENTS; MULTI AGENTS; SENSING REGIONS;

AGENTS; AUTONOMOUS AGENTS; DISTRIBUTED PARAMETER CONTROL SYSTEMS; MOBILE AGENTS; PROBLEM SOLVING;

MULTI AGENT SYSTEMS;

EID: 53249101881     PISSN: 03630129     EISSN: None     Source Type: Journal    
DOI: 10.1137/040620552     Document Type: Article

References (21)

1. H. ANDO, Y. CASA, I. SUZUKI, AND M. YAMASHITA, Distributed memoryless point convergence algorithm for mobile robots with limited visibility, IEEE Trans. Robotics Automation, 15 (1999), pp. 818-828.
2. D. E. CHANG AND J. E. MARSDEN, Gyroscopic forces and collision avoidance with convex obstacles, in New Trends in Nonlinear Dynamics and Control, and Their Applications, Springer-Verlag, Berlin, 2003, pp. 145-159.
3. J. CORTES, S. MARTINEZ, AND F. BULLO, Robust rendezvous for mobile autonomous agents via proximity graphs in arbitrary dimensions, IEEE Trans. Automat. Control, 51 (2006), pp. 1289-1296.
4. J. P. DESAI, J. P. OSTROWSKI, AND V. KUMAR, Modeling and control of formations of non-holonomic mobile robots, IEEE Trans. Robotics Automation, 17 (2001), pp. 905-908.
5. T. EREN, P. N. BELHUMEUR, B. D. O. ANDERSON, AND A. S. MORSE, A framework for maintaining formations based on rigidity, in Proceedings of the 15th IFAC World Congress, Barcelona, Spain, 2002, pp. 2752-2757.
6. T. EREN, P. N. BELHUMEUR, AND A. S. MORSE, Closing ranks in vehicle formations based on rigidity, in Proceedings of the 41st IEEE Conference on Decision and Control, 2002, pp. 2959-2964.
7. J. A. FAX AND R. M. MURRAY, Graph Laplacians and Vehicle Formation Stabilization, CDS Technical Report 01-007, California Institute of Technology, Pasadena, CA, 2001.
8. J. A. FAX AND R. M. MURRAY, Graph Laplacians and stabilization of vehicle formations, in Proceedings of the 15th IFAC World Congress, Barcelona, Spain, 2002.
9. A. JADBABAIE, J. LIN, AND A. S. MORSE, Coordination of groups of mobile autonomous agents using nearest neighbor rules, IEEE Trans. Automat. Control, 48 (2003), pp. 988-1001.
10. N. LEONARD AND E. FRIORELLI, Virtual leaders, artificial potentials and coordinated control of groups, in Proceedings of the 40th IEEE Conference on Decision and Control, Orlando, FL, 2001.
11. J. LIN, A. S. MORSE, AND B. D. O. ANDERSON, The multi-agent rendezvous problem, in Proceedings of the 42nd IEEE Conference on Decision and Control, 2003, pp. 1508-1513.
12. J. LIN, A. S. MORSE, AND B. D. O. ANDERSON, The multi-agent rendezvous problem. Part 2: The asynchronous case, SIAM J. Control Optim., 46 (2007), pp. 2120-2147.
13. Z. LIN, M. BROUCHE, AND B. FRANCIS, Local Control Strategies for Groups of Mobile Autonomous Agents, in Proceedings of the 42nd IEEE Conference on Decision and Control, 2003, pp. 1006-1011.
14. Y. LIU, K. M. PASSINO, AND M. POLYCARPOU, Stability analysis of one-dimensional asynchronous swarms, IEEE Trans. Automat. Control, 48 (2003), pp. 1848-1854.
15. J. E. MARSDEN, Basic Complex Analysis, W. H. Freeman, San Francisco, 1973.
16. L. MOREAU, Stability of multi-agent systems with time-dependent communication links, IEEE Trans. Automat. Control, 50 (2005), pp. 169-182.
17. H. RADEMACHER, AND O. TOEPLITZ, The Enjoyment of Mathematics, Princeton University Press, Princeton, NJ, 1957.
18. R. K. SUNDARAM, A First Course in Optimization Theory, Cambridge University Press, Cambridge, UK, 1996.
19. I. SUZUKI AND M. YAMASHITA, Distributed autonomous mobile robots: Formation of geometric patterns, SIAM J. Comput., 28 (1999), pp. 1347-1363.
20. H. TANNER, A. JADBABAIE, AND G. PAPPAS, Distributed Coordination Strategies for Groups of Mobile Autonomous Agents, Technical report, ESE Department, University of Pennsylvania, Philadelphia, 2002.
21. T. VICSEK, A. CZIRÓK, E. BEN- JACOB, I. COHEN, AND O. SHOCHET, Novel type of phase transition in a system of self-driven particles, Phys. Rev. Lett., 75 (1995), pp. 1226-1229.