A class of uncontrollable diffusively coupled multiagent systems with multichain topologies

IEEE Transactions on Automatic Control

Volumn 58, Issue 2, 2013, Pages 465-469

  Cao, Ming ^a   Zhang, Shuo ^a   Camlibel, M Kanat ^a,b  

^a UNIVERSITY OF GRONINGEN   (Netherlands)

^b DOGUS UNIVERSITY   (Turkey)

Author keywords

Controllability; diffusive coupling; equitable partition; multiagent system

Indexed keywords

DIFFUSIVE COUPLING; EQUITABLE PARTITIONS; GRAPH PARTITIONING; SUFFICIENT CONDITIONS;

CONTROLLABILITY; ELECTRIC SHIP EQUIPMENT; TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 84873867321     PISSN: 00189286     EISSN: None     Source Type: Journal    
DOI: 10.1109/TAC.2012.2208314     Document Type: Article

References (17)

1. V. Kumar, N. E. Leonard, and A. S. Morse, Cooperative Control. NewYork:Springer-Verlag, 2005.
2. M. Mesbahi and M. Egerstedt, Graph Theoretic Methods in Multiagent Networks. Princeton, NJ: Princeton Univ. Press, 2010.
3. S. Mei, X. Zhang, and M. Cao, Power Grid Complexity. Berlin, Ger- many:Springer-Verlag, 2011.
4. A. Jadbabaie, J. Lin, and A. S. Morse, "Coordination of groups of mo- bile autonomous agents using nearest neighbor rules, " IEEE Trans. Autom. Control, vol. 48, pp. 985-1001, 2003.
5. R. Olfati-Saber, J. A. Fax, and R. M. Murray, "Consensus and coop- eration in networked multi-agent systems, " Proc IEEE, vol. 95, pp. 215-233, 2007.
6. M. Cao, A. S. Morse, and B. D. O. Anderson, "Reaching a consensus in a dynamically changing environment: A graphical approach, " SIAM J. Control Optimiz., vol. 47, pp. 575-600, 2008.
7. W. Xia and M. Cao, "Clustering in diffusively coupled networks, "Au- tomatica, vol.47, pp.2395-2405, 2011.
8. F Sorrentino M di Bernardo F Garofalo and G Chen "Control- lability of complex network sviapinning"Phys. Rev E vol 75 p 046103 2007
9. M Mesbahi "Onstate-dependent dynamic graphs and their controlla- bility properties"IEEE Trans. Autom Control, vol 50 pp 387-392 2005 (Pubitemid 40448590)
10. B Liu T Chu L Wang and G Xie "Controllability of a leader-fol- lower dynamic network with switching topology " IEEE Trans. Autom Control, vol 53 pp 1009-1013 2008 (Pubitemid 351795861)
11. A Rahmani M Ji M Mesbahi and M Egerstedt "Controllability of multi-agent systems from a graph-theoretic perspective " SIAM J ControlOptim vol 48 pp 162-186 2009
12. Y-Y Liu J-J Slotines andA-L Barabasi "Controllability of complex networks"Nature, vol 473 pp 167-173 2011
13. H G Tanner "On the controllability of nearest neighbor intercon- nections" inProc 43rd IEEE Conf. Decision Control, 2004 pp 2467-2472 (Pubitemid 40287154)
14. S Martini M Egerstedt and A Bicchi "Controllability analysis of multi-agent systems using relaxed equitable partitions"Int. J Syst ControlCommun vol 2 pp 100-121 2010
15. M K Camlibel S, Zhang andM Cao, "Comments on'controllability analysis of multi-agent systems using relaxed equitable partitions' " Int. J Syst ControlCommun vol 4 pp 72-75 2012
16. B D McKay "Computing automorphisms and canonicall a bellings of graphs" Combinator Math vol 686 pp 223-232 1978
17. S Zhang M K Camlibel andM Cao "Controllability of diffusively- coupled multi-agent systems with general and distance regular cou- pling topologies " in Proc. 50thIEEEConf.DecisionControl 2011 pp 759-764.