Hybrid synchronization of the general delayed and non-delayed complex dynamical networks via pinning control

Neurocomputing

Volumn 89, Issue , 2012, Pages 168-177

  Wu, Xiangjun ^a,b   Lu, Hongtao ^a  

^a SHANGHAI JIAO TONG UNIVERSITY   (China)

^b HENAN UNIVERSITY   (China)

Author keywords

Adaptive control; Complex networks; Linear feedback control; Linear matrix inequality; Non delayed and delayed coupling; Pinning control; The hybrid synchronization

Indexed keywords

ADAPTIVE CONTROL; ADAPTIVE CONTROLLERS; COMPLEX DYNAMICAL NETWORKS; COMPLEX NETWORKS; COUPLED NETWORKS; LASALLE INVARIANCE PRINCIPLE; LINEAR FEEDBACK; LINEAR FEEDBACK CONTROL; LINEAR MATRIX INEQUALITY TECHNIQUES; PINNING CONTROL; SUFFICIENT CONDITIONS; SYNCHRONIZATION PROBLEM; SYNCHRONIZATION SCHEME;

ADAPTIVE CONTROL SYSTEMS; LINEAR MATRIX INEQUALITIES;

SYNCHRONIZATION;

ANALYTIC METHOD; ARTICLE; ARTIFICIAL NEURAL NETWORK; DYNAMICS; FEEDBACK SYSTEM; HYBRID SYNCHRONIZATION; INFORMATION PROCESSING; INFORMATION SYSTEM; LINEAR SYSTEM; PINNING CONTROL; PRIORITY JOURNAL; STATISTICAL ANALYSIS;

EID: 84860226551     PISSN: 09252312     EISSN: 18728286     Source Type: Journal    
DOI: 10.1016/j.neucom.2012.02.015     Document Type: Article

References (38)

1. Watts D.J., Strogatz S.H. Collective dynamics of small-world networks. Nature 1998, 393(6684):440-442.
2. Barabási A.L., Albert R. Emergence of scaling in random networks. Science 1999, 286(5439):509-512.
3. Albert R., Barabási A.L. Statistical mechanics of complex networks. Rev. Mod. Phys. 2002, 74(1):47-97.
4. Boccaleti S., Latora V., Moreno Y., Chavez M., Hwang D.U. Complex networks: structure and dynamics. Phys. Rep. 2006, 424(4-5):175-308.
5. Chen G., Dong X. From chaos to order: methodologies, perspectives, and applications 1998, World Scientific, Singapore.
6. Xie Q., Chen G., Bollt E. Hybrid chaos synchronization and its application in information processing. Math. Comput. Model. 2002, 35(1-2):145-163.
7. Li X., Wang X., Chen G. Pinning a complex dynamical network to its equilibrium. IEEE Trans. Circuits Syst. I 2004, 51(10):2074-2087.
8. Wu C.W. Synchronization in complex networks of nonlinear dynamical systems 2007, World Scientific, Singapore.
9. Arenas A., Diaz-Guilera A., Kurths J., Moreno Y., Zhou C. Synchronization in complex networks. Phys. Rep. 2008, 469(3):93-153.
10. Wang X., Chen G. Synchronization in small-world dynamical networks. Int. J. Bifurcat. Chaos 2002, 12(1):187-192.
11. Wang X., Chen G. Synchronization in scale-free dynamical networks: robustness and fragility. IEEE Trans. Circuits Syst. I 2002, 49(1):54-62.
12. Lü J., Chen G. A time-varying complex dynamical network model and its controlled synchronization criteria. IEEE Trans. Automat. Control 2005, 50(6):841-846.
13. Cao J.D., Li P., Wang W.W. Global synchronization in arrays of delayed neural networks with constant and delayed coupling. Phys. Lett. A 2006, 353(4):318-325.
14. Cai S., Zhou J., Xiang L., Liu Z. Robust impulsive synchronization of complex delayed dynamical networks. Phys. Lett. A 2008, 372:4990-4995.
15. Zhu Q., Cao J. Adaptive synchronization of chaotic Cohen-Crossberg neural networks with mixed time delays. Nonlinear Dyn. 2010, 61(3):517-534.
16. Li C.P., Sun W.G., Kurths J. Synchronization between two coupled complex networks. Phys. Rev. E 2007, 76(4):046204.
17. Tang H., Chen L., Lu J., Tse C.K. Adaptive synchronization between two complex networks with nonidentical topological structures. Physica A 2008, 387(22):5623-5630.
18. Wu X., Zheng W., Zhou J. Generalized outer synchronization between complex dynamical networks. Chaos 2009, 19(1):013109.
19. Chen J., Jiao L., Wu J., Wang X. Projective synchronization with different scale factors in a driven-response complex network and its application in image encryption. Nonlinear Anal. RWA 2010, 11(4):3045-3058.
20. Wu X., Lu H. Generalized projective synchronization between two different general complex dynamical networks with delayed coupling. Phys. Lett. A 2010, 374(38):3932-3941.
21. Wang X.F., Chen G.R. Pinning control of scale-free dynamical networks. Physica A 2002, 310(3-4):521-531.
22. Li X., Wang X.F., Chen G.R. Pinning a complex dynamical network to its equilibrium. IEEE Trans. Circuits Syst. I 2004, 51(10):2074-2087.
23. Chen T., Liu X., Lu W. Pinning complex networks by a single controller. IEEE Trans. Circuits Syst. I 2007, 54(6):1317-1326.
24. Yu W.W., Chen G.R, Lü J.H. On pinning synchronization of complex dynamical networks. Automatica 2009, 45(2):429-435.
25. Hu A., Xu Z. Pinning a complex dynamical network via impulsive control. Phys. Lett. A 2009, 374(2):186-190.
26. Song Q., Cao J. On pinning synchronization of directed and undirected complex dynamical networks. IEEE Trans. Circuits Syst. I 2010, 57(3):672-680.
27. Lu J., Cao J. Adaptive synchronization of uncertain dynamical networks with delayed coupling. Nonlinear Dyn. 2008, 53(1-2):107-115.
28. Zhao J., Hill D.J., Liu T. Synchronization of complex dynamical networks with switching topology: a switched system point of view. Automatica 2009, 45(11):2502-2511.
29. Ma T., Fu J. On the exponential synchronization of stochastic impulsive chaotic delayed neural networks. Neurocomputing 2011, 74(5):857-862.
30. Sun W., Chen Z., Lü Y., Chen S. An intriguing hybrid synchronization phenomenon of two coupled complex networks. Appl. Math. Comput. 2010, 216(8):2301-2309.
31. Yau H.-T. Synchronization and anti-synchronization coexist in two-degree-of-freedom dissipative gyroscope with nonlinear inputs. Nonlinear Anal. RWA 2008, 9(5):2253-2261.
32. Chen J.-H., Chen H.-K., Lin Y.-K. Synchronization and anti-synchronization coexist in Chen-Lee chaotic systems. Chaos Solitons Fractals 2009, 39(2):707-716.
33. Wang S., Yu Y., Diao M. Hybrid projective synchronization of chaotic fractional order systems with different dimensions. Physica A 2010, 389(21):4981-4988.
34. Yu Y., Li H. Adaptive hybrid projective synchronization of uncertain chaotic systems based on backstepping design. Nonlinear Anal. RWA 2011, 12(1):388-393.
35. Lu W., Chen T. New approach to synchronization analysis of linearly coupled ordinary differential systems. Physica D 2006, 213(2):214-230.
36. Guo W., Austin F., Chen S., Sun W. Pinning synchronization of the complex networks with non-delayed and delayed coupling. Phys. Lett. A 2009, 373(17):1565-1572.
37. Wu C.W., Chua L.O. Synchronization in an array of linearly coupled dynamical systems. IEEE Trans. Circuits Syst. I 1995, 42(8):430-447.
38. Sprott J.C. Some simple chaotic flows. Phys. Rev. E 1994, 50(2):647-650.