Multi-agent coordination under connectivity constraints

Proceedings of the American Control Conference

Volumn , Issue , 2008, Pages 2648-2653

  Srivastava, Kunal ^a   Spong, Mark W ^a  

^a University of Illinois at Urbana Champaign   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

AGENTS; COMMUNICATION SYSTEMS; DISCRETE COSINE TRANSFORMS; MATRIX ALGEBRA;

ADJACENCY MATRICES; ARBITRARY POSITIONS; CONNECTIVITY CONSTRAINTS; CONSTRAINT SET; CONSTRAINT SETS; CONVEX OPTIMIZATION PROBLEMS; COORDINATION PROBLEMS; EXISTENCE AND UNIQUENESS OF SOLUTIONS; GRAPH CONNECTIVITY; MOTION CO-ORDINATION; MULTI-AGENT COORDINATIONS; MULTIPLE AGENTS; OF GRAPHS; PARTIAL ORDERING; PROBLEM BASED;

GRAPH THEORY;

EID: 52449101277     PISSN: 07431619     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.1109/ACC.2008.4586892     Document Type: Conference Paper

References (18)

1. N. Moshtagh, A. Jadbabaie "Distributed Geodesic Control Laws for Flocking of Nonholonomic Agents" IEEE Transactions on Automatic Control (52) 4:681-686, 2007
2. A. Muhammad and M. Egerstedt. "Positivstellensatz Certificates for Non Feasibility of Connectivity Graphs in Multi-agent Coordination". 16th IFAC World Congress, Prague, 2005.
3. Meng Ji, M. Egerstedt. "Distributed Formation Control While Preserving Connectedness" IEEE Conference on Decision and Control December 2006.
4. M.M. Zavlanos, G.J. Pappas "Controlling Connectivity of Dynamic Graphs" IEEE Conference on Decision and Control December 2005.
5. Maria Carmela De Gennaro, Ali Jadbabaie, "Decentralized Control of Connectivity of Multiagent Systems" IEEE Conference on Decision and Control December 2006
6. M. Mesbahi. "On State-Dependent Dynamic Graphs and Their Controllability Properties", IEEE Transactions on Automatic Control (50) 3: 387-392, 2005.
7. Y. Kim and M. Mesbahi. "On Maximizing the Second Smallest Eigenvalue of a State-Dependent Graph Laplacian" IEEE Transactions on Automatic Control (51) 1:116-120, 2006
8. D. Šiljak "Decentralized Control of Complex systems" Academic Press Inc. 1991
9. Godsil, Royle "Algebraic Graph Theory" Springer, 2001
10. D. Bertsekas "Convex Analysis and Optimizationi" Lecture Notes
11. S. Boyd, L. Vandenberghe: "Convex Optimization" Cambridge University Press 2004.
12. P. Erdös, A. Rényi, "On Random Graphs", Publicationes Mathematicae 6(1959)
13. J.A. Fax and R.M. Murray, "Graph Laplacian and Stabilization of Vehicle formations," in Proc. 15th IFAC, 2002, pp. 283-288
14. A. Jadbabaie, J. Lin and A.S. Morse, "Coordination of Groups of Mobile Autonomous Agents using Nearest Neighbor Rules," IEEE Transactions on Automatic Control vol. 48, no. 6, pp. 988-1001, Jun. 2003.
15. K. Sugihara and I. Suzuki, "Distributed Motion Coordination of Multiple Robots", in Proc. IEEE Int. Symp. Intell. Control, 1990, pp. 138-143
16. Athans and Falb, "Optimal Control", McGraw-Hill, 1966
17. D. Luenberger, "Optimization by Vector Space Methods", Wiley Professional Paperback Series.
18. E. Klavins, R. Ghrist and D. Lipsky, "A Grammatical Approach to Self-Organizing Robotic Systems", IEEE Transactions on Automatic Control, Vol 51, No.6, June 2006