Impulsive consensus in directed networks of identical nonlinear oscillators with switching topologies

Communications in Nonlinear Science and Numerical Simulation

Volumn 17, Issue 1, 2012, Pages 378-387

  Jiang, Haibo ^a,b   Bi, Qinsheng ^a   Zheng, Song ^a  

^a JIANGSU UNIVERSITY   (China)

^b YANCHENG TEACHERS UNIVERSITY   (China)

Author keywords

Directed networks; Impulsive consensus; Impulsive control protocols; Multi agent systems; Networked nonlinear oscillators

Indexed keywords

INTERNET PROTOCOLS; NETWORKED CONTROL SYSTEMS; OSCILLATORS (MECHANICAL); TOPOLOGY;

CONDITION; CONTROL PROTOCOLS; DIRECTED NETWORK; IMPULSIVE CONSENSUS; IMPULSIVE CONTROL PROTOCOL; IMPULSIVE CONTROLS; LOCAL INFORMATION; NETWORKED NONLINEAR OSCILLATOR; NON-LINEAR OSCILLATORS; SWITCHING TOPOLOGY;

MULTI AGENT SYSTEMS;

EID: 80955180206     PISSN: 10075704     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.cnsns.2011.04.030     Document Type: Article

References (43)

1. Vicsek T., Czirok A., Jacob E.B., Cohen I., Schochet O. Novel type of phase transition in a system of self-driven particles. Phys Rev Lett 1995, 75:1226-1229.
2. Jabdabaie A., Lin J., Morse A.S. Coordination of groups of mobile autonomous agents using nearest neighbor rules. IEEE Trans Automat Control 2003, 48:988-1001.
3. Olfati-Saber R., Murray R. Consensus problems in networks of agents with switching topology and time-delays. IEEE Trans Automat Control 2004, 49:1520-1533.
4. Olfati-saber R., Fax J., Murray R. Consensus and cooperation in networked multi-agent systems. Proc IEEE 2007, 95:1-17.
5. Tian Y.P., Liu C.L. Consensus of multi-agent systems with diverse input and communication delays. IEEE Trans Automat Control 2008, 53:2122-2128.
6. Wang J.H., Cheng D.Z., Hu X.M. Consensus of multi-agent linear dynamic systems. Asian J Control 2008, 10:144-155.
7. Ma C.Q., Zhang J.F. Necessary and sufficient conditions for consensusability of linear multi-agent systems. IEEE Trans Automat Control 2010, 55:1263-1268.
8. Scardovi L., Sepulchre R. Synchronization in networks of identical linear systems. Automatica 2009, 45:2557-2562.
9. Huang T., Li C., Yu W., Chen G. Synchronization of delayed chaotic systems with parameter mismatches by using intermittent linear state feedback. Nonlinearity 2009, 22:569-584.
10. Huang T., Li C. Chaotic synchronization by the intermittent feedback method. J Comput Appl Math 2010, 234:1097-1104.
11. Porfiri M., Fiorilli F. Global pulse synchronization of chaotic oscillators through fast-switching: theory and experiments. Chaos Soliton Fract 2009, 41:245-262.
12. Porfiri M., Pigliacampo R. Master-slave global stochastic synchronization of chaotic oscillators. SIAM J Appl Dyn Syst 2008, 7:825-842.
13. Ren W., Beard R.W. Consensus seeking in multi-agent systems using dynamically changing interaction topologies. IEEE Trans Automat Control 2005, 50:655-661.
14. Hong Y.G., Gao L.X., Cheng D.Z., Hu J.P. Lyapunov-based approach to multiagent systems with switching jointly connected interconnection. IEEE Trans Automat Control 2007, 52:943-948.
15. Porfiri M., Stilwell D.J. Consensus seeking over random weighted directed graphs. IEEE Trans Automat Control 2007, 52:1767-1773.
16. Porfiri M., Stilwell D.J., Bollt E.M. Synchronization in random weighted directed networks. IEEE Trans Circuits Syst I 2008, 55:3170-3177.
17. Lin P., Jia Y. Average consensus in networks of multi-agents with both switching topology and coupling time-delay. Physica A 2008, 387:303-313.
18. Sun Y.G., Wang L., Xie G. Average consensus in networks of dynamic agents with switching topologies and multiple time-varying delays. Systems Control Lett 2008, 57:175-183.
19. Zhang Y., Tian Y.P. Consentability and protocol design of multi-agent systems with stochastic switching topology. Automatica 2009, 45:1195-1201.
20. Belykh I.V., Belykh V.N., Hasler M. Blinking model and synchronization in small-world networks with a time-varying coupling. Phys D 2004, 195:188-206.
21. Zhao J., Hill D.J., Liu T. Synchronization of complex dynamical networks with switching topology: a switched system point of view. Automatica 2009, 45:2502-2511.
22. Porfiri M., Fiorilli F. Node-to-node pinning-control of complex networks. Chaos 2009, 19:013122.
23. Stilwell D.J., Bollt E.M., Roberson D.G. Sufficient conditions for fast switching synchronization in time varying network topologies. SIAM J Appl Dyn Syst 2006, 5:140-156.
24. Jiang H.B., Yu J.J., Zhou C.G. Robust fuzzy control of nonlinear fuzzy impulsive systems with time-varying delay. IET Control Theory Appl 2008, 2:654-661.
25. Han X.P., Lu J.A., Wu X.Q. Synchronization of impulsively coupled systems. Int J Bifur Chaos 2008, 18:1539-1549.
26. Jiang HB, Bi QS. Contraction theory based synchronization analysis of impulsively coupled oscillators. Nonlinear Dyn 2011, doi:10.1007/s11071-011-0026-2.
27. Yang T. Impulsive control theory 2001, Springer, Berlin.
28. Li C., Liao X., Yang X., Huang T. Impulsive stabilization and synchronization of a class of chaotic delay systems. Chaos 2005, 15:043103.
29. Chen Y.S., Chang C.C. Impulsive synchronization of Lipschitz chaotic systems. Chaos Soliton Fract 2009, 40:1221-1228.
30. Zhang Y.P., Sun J.T. Impulsive robust fault-tolerant feedback control for chaotic Lur'e systems. Chaos Soliton Fract 2009, 39:1440-1446.
31. Zheng Y.A., Chen G. Fuzzy impulsive control of chaotic systems based on TS fuzzy model. Chaos Soliton Fract 2009, 39:2002-2011.
32. Liu B., Liu B.X., Chen G. Robust impulsive synchronization of uncertain dynamical networks. IEEE Trans Circuits Syst I 2005, 52:1431-1441.
33. Cai S., Zhou J., Xiang L., Liu Z. Robust impulsive synchronization of complex delayed dynamical networks. Phys Lett A 2008, 372:4990-4995.
34. Guan Z.H., Zhang H. Stabilization of complex network with hybrid impulsive and switching control. Chaos Soliton Fract 2008, 37:1372-1382.
35. Jiang H.B. Hybrid adaptive and impulsive synchronization of uncertain complex dynamical networks by the generalized Barbalat's lemma. IET Control Theory Appl 2009, 3:1330-1340.
36. Jiang H.B., Yu J.J., Zhou C.G. Consensus of multi-agent linear dynamic systems via impulsive control protocols. Int J Systems Sci 2011, 42:967-976.
37. Jiang H.B., Bi Q.S. Impulsive synchronization of networked nonlinear dynamical systems. Phys Lett A 2010, 374:2723-2729.
38. Guan Z.H., Liu Z.W., Feng G., Wang Y.W. Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control. IEEE Trans Circuits Syst I 2010, 57:2182-2195.
39. Horn R.A., Johnson C.A. Topics in matrix analysis 1991, Cambridge University Press, Cambridge.
40. Horn R.A., Johnson C.A. Matrix analysis 1985, Cambridge University Press, Cambridge.
41. Godsil C., Royle G. Algebraic graph theory 2001, Springer-Verlag, New York.
42. Xiao L., Boyd S., Kim S.J. Distributed average consensus with least-mean-square deviation. J Parallel Distrib Comput 2007, 67:33-46.
43. Nedic A., Olshevsky A., Ozdaglar A., Tsitsiklis J.N. On distributed averaging algorithms and quantization effects. IEEE Trans Automat Control 2009, 54:2506-2517.