Synchronization of complex dynamical networks with switching topology: A switched system point of vi

IFAC Proceedings Volumes (IFAC-PapersOnline)

Volumn 17, Issue 1 PART 1, 2008, Pages

  Zhao, Jun ^a   Hill, David J ^a  

^a NONE

Author keywords

Hybrid systems stability; Multi agent systems; Switched discrete and hybrid systems

Indexed keywords

ARBITRARY SWITCHING; COMMON LYAPUNOV FUNCTIONS; COMPLEX DYNAMICAL NETWORKS; CONNECTION MATRICES; DIMENSIONAL DYNAMICS; SIMULTANEOUS TRIANGULARIZATION; SINGLE LYAPUNOV FUNCTION; STABILITY PROBLEM; SWITCHED DISCRETE AND HYBRID SYSTEMS; SWITCHED SYSTEM; SWITCHING TOPOLOGY; SYNCHRONIZATION PROBLEM; TIME-VARYING SWITCHED SYSTEMS;

DIFFERENTIAL EQUATIONS; HYBRID COMPUTERS; HYBRID SYSTEMS; LYAPUNOV FUNCTIONS; MULTI AGENT SYSTEMS; SWITCHING; SWITCHING SYSTEMS; SYNCHRONIZATION; TOPOLOGY;

SYSTEM STABILITY;

EID: 79961019642     PISSN: 14746670     EISSN: None     Source Type: Conference Proceeding    
DOI: 10.3182/20080706-5-KR-1001.0800     Document Type: Conference Paper

References (24)

1. M.Barahona, L.M.Pecora. Synchronization in small-world systems. Phys Rev Lett, 89:054101, 2002.
2. I.Belykh, V.N.Belykh, M.Hasler. Blinking model and synchronization in small-world networks with a time-varying coupling. Physica D, 195:188-206, 2004.
3. S.Boccaletti, V.Latora, Y.Moreno, M.Chavez. Complex networks: structure and dynamics. Physics Reports, 424: 175-308, 2006.
4. S.Boccaletti, D.U.Hwang, M.Chavez, A.Amann, J.Kurths, L.M.Pecora. Synchronization in dynamical networks: evolution along commutative graphs. Physical Review E, 74:016102, 2006.
5. F.Comellas, S.Gago. Synchronization of complex networks. J.Phys.A, 40:4483-4492, 2007.
6. H.Gao, J.Lam, G.Chen. New criteria for synchronization stability of general complex dynamical networks with coupling delays. Phys Lett. A, 360:263-273, 2006.
7. D.J.Hill, G.Chen. Power systems as dynamic networks. Proc. IEEE International Symposium on Circuits and Systems, pages: 154-168, 2006.
8. Y.Hong, L.Gao, D.Cheng, J.Hu. Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Trans. on Automatic Control, 52:943-948, 2007.
9. I.F.Ihle, M. Arcakc, T. I. Fossen. Passivity-based designs for synchronized path-following. Automatica, 43: (Available on line), 2007.
10. A.Jadbabaie, J.Lin, A.S.Morse. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans. Automatic Control, 48: 988-1001, 2003.
11. X.Li, G.Chen. Synchronization and desynchronization of complex dynamical networks: an engineering viewpoint. IEEE Trans. Circuit and Systems-I, 50:1381-1390, 2003.
12. C.Lorand, P.H.Bauer. On Synchronization Errors in Networked Feedback Systems. IEEE Trans. Circuits and Systems-I, 53:2306-2317, 2006.
13. J.Lu, G.Chen. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans Automatic control, 50:841-846, 2005.
14. S.Mastellone, D.Lee, M.W.Spong. Master-slave synchronization with switching communication through passive model-based control design. Proc.American Control Conference, pages: 3203-3208, 2006.
15. R.Olfati-Saber, R.M.Murray. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans. Automatic Control, 49:1520-1533, 2004.
16. A.Papachristodoulou, A.Jadbabaie. Synchronization in oscillator networks: switching topologies and non-homogeneous delays. Proc. IEEE Conf. Decision and Control, pages: 5692-5697, 2005.
17. L.M.Pecora, T.L.Carroll. Master stability functions for synchronized coupled systems. Phys Rev Lett, 80:2109-2112, 1998. (Pubitemid 128621504)
18. D.J.Stilwell, E.M.Bollt. Sufficient conditions for fast switching synchronization in time-varying network topologies. SIAM J.Applied Dynamical Systems, 5:140-156, 2006.
19. S.H.Strogatz. Exploring complex networks. Nature, 410: 268-276, 2001.
20. H.G.Tanner, A.Jadbabaie, G.J.Pappas. Flocking in fixed and switching networks. IEEE Trans. Automatic Control , 52:863-868, 2007.
21. X.Wang, G.Chen. Complex networks: small-world, scale-free, and beyond. IEEE Trans Circuits and Systems, 3: 6-20, 2003.
22. J.Xiang, G.Chen. On the V-stability of complex dynamical networks. Automatica, 43:1049-1057, 2007.
23. F.Xiao, L.Wang. State consensus for multi-agent systems with switching topologies and time-varying delays. Int.J.Control, 79:1277-1284, 2006. (Pubitemid 44091782)
24. J.Zhao, D.J.Hill. On stability, L2-gain and H1 control for switched systems. Automatica, to appear, 2007.