Fault tolerant synchronization for a class of complex interconnected neural networks with delay

International Journal of Adaptive Control and Signal Processing

Volumn 28, Issue 10, 2014, Pages 859-881

  Wang, Zhanshan ^a   Li, Tieshan ^b   Zhang, Huaguang ^a  

^a NORTHEASTERN UNIVERSITY   (China)

^b DALIAN MARITIME UNIVERSITY   (China)

Author keywords

Adaptive control law; Complex networks; Fault tolerant synchronization; Interconnected neural networks; Sensor fault

Indexed keywords

ADAPTIVE CONTROL SYSTEMS; COMPLEX NETWORKS; CONTROL THEORY; FAULT TOLERANCE; LINEAR MATRIX INEQUALITIES; SYNCHRONIZATION;

ADAPTIVE CONTROL LAW; ADAPTIVE FAULT-TOLERANT CONTROL; COMPLEX INTERCONNECTED NEURAL NETWORKS; CONTROLLED SYNCHRONIZATION; FAULT TOLERANT CONTROL LAWS; FAULT-TOLERANT; LINEAR MATRIX INEQUALITY TECHNIQUES; SENSOR FAULT;

NEURAL NETWORKS;

EID: 84907941064     PISSN: 08906327     EISSN: 10991115     Source Type: Journal    
DOI: 10.1002/acs.2399     Document Type: Article

References (68)

1. Li X, Jin Y, Chen G. Complexity and synchronization of the world trade web. Physica A 2003; 328:287-296.
2. Wang X, Chen G. Pinning control of scale-free dynamical networks. Physica A 2002; 310:521-531.
3. Porfiri M, di Bernardo M. Criteria for global pinning-controllability of complex networks. Automatica 2008; 44:3100-3106.
4. Koo J, Ji D, Won S. Synchronization of singular complex dynamical networks with time-varying delays. Applied Mathematics and Computation 2010; 217:3916-3923.
5. Gau RS, Lien CH, Hsieh JG. Novel stability conditions for interval delayed neural networks with multiple time-varying delays. International Journal of Innovative Computing, Information and Control 2011; 7(1):433-444.
6. Wang Y, Xiao J, Wang H. Global synchronization of complex dynamical networks with network failure. International Journal of Robust and Nonlinear Control 2010; 20:1667-1677.
7. Zheng S, Wang S, Dong G, Bi Q. Adaptive synchronization of two nonlinearly coupled complex dynamical networks with delayed coupling. Communications in Nonlinear Science and Numerical Simulation 2012; 17(1):284-291.
8. Gong D, Zhang H, Wang Z, Huang B. Novel synchronization analysis for complex networks with hybrid coupling by handling multitude Kronecker product terms. Neurocomputing 2012; 82:14-20.
9. Zhou J, Lu J, Lu J. Adaptive synchronization of an uncertain complex dynamical network. IEEE Transactions on Automatic Control 2006; 51(4):652-656.
10. Zhang Q, Lu J, Lu J, Tse C. Adaptive feedback synchronization of a general complex dynamical network with delayed nodes. IEEE Transactions on Circuits and Systems II: Express Briefs 2008; 55(2):183-187.
11. Osipov GV, Sushchik MM. The effect of natural frequency distribution on cluster synchronization in oscillator arrays. IEEE Transactions On Circuits and Systems I: Fundamental Theory and Applications 1997; 44(10):1006-1010.
12. McGraw PN, Menzinger M. Clustering and the synchronization of oscillator networks. Physical Review E 2005; 72(1):015101.
13. Yoshioka M. Cluster synchronization in an ensemble of neurons interacting through chemical synapses. Physical Review E 2005; 71(6):061914.
14. Franovic I, Todorovic K, Vasovic N. Cluster synchronization of spiking induced by noise and interaction delays in homogenous neuronal ensembles. Chaos 2012; 22(3):033147.
15. Francesco R, Roberto T, Huang L. Onset of chaotic phase synchronization in complex networks of coupled heterogeneous oscillators. Physical Review E 2012; 86(2):027201.
16. Kawamura Y, Nakao H, Arai K. Phase synchronization between collective rhythms of globally coupled oscillator groups: noiseless nonidentical case. Chaos 2010; 20(4):043110.
17. Fries P. Neuronal gamma-band synchronization as a fundamental process in cortical computation. Annual Review of Neuroscience 2009; 32:209-224.
18. Ivancevic VG, Ivancevic T. Quantum Neural Computation, Intelligent Systems, Control and Automation: Science and Engineering. Springer: Berlin, Heidelberg, 2010.
19. Uhlhaas PJ, Singer W. Neuronal dynamics and neuropsychiatric disorders: toward a translational paradigm for dysfunctional large-scale networks. Neuron 2012; 75(6):963-980.
20. Uhlhaas PJ, Roux F, Rodriguez E. Neural synchrony and the development of cortical networks. Trends in Cognitive Sciences 2010; 14(2):72-80.
21. Zheleznyak A, Chua LO. Coexistence of low-and high-dimensional spatio-temporal chaos in a chain of dissipatively coupled Chua's circuits. International Journal of Bifurcation and Chaos 1994; 4(3):639-672.
22. Perez-Munuzuri V, Perez-Villar V, Chua LO. Autowaves for image processing on a two-dimensional CNN array of excitable nonlinear circuits: flat and wrinkled labyrinths. IEEE Transactions on Circuits and Systems I 1993; 40:174-181.
23. Perez-Munuzuri A, Perez-Munuzuri V, Perez-Villar V. Spiral waves or a two-dimensional array of nonlinear circuits. IEEE Transactions on Circuits and Systems I 1993; 40:872-877.
24. Murray JD. Mathematics Biology. Springer-Verlag: Berlin, Germany, 1989.
25. Chua LO, Yang L. Cellular neural networks: applications. IEEE Transactions on Circuits and Systems 1988; 35:1273-1290.
26. Hoppensteadt FC, Izhikevich EM. Pattern recognition via synchronization in phase-locked loop neural networks. IEEE Transactions on Neural Networks 2000; 11:734-738.
27. Zhang Y, He Z. A secure communication scheme based on cellular neural networks. In Proceedings of IEEE International Conference on Intelligent Processing Systems, Vol. 1, Beijing, China, 1997; 521-524.
28. Chen G, Zhou J, Liu Z. Global synchronization of coupled delayed neural networks and applications to chaos CNN models. International Journal of Bifurcation and Chaos 2004; 14(7):2229-2240.
29. Earl MG, Strogatz SH. Synchronization in oscillator networks with delayed coupling: a stability criterion. Physical Review E 2003; 67:036204.
30. Li CG, Xu H, Liao X, Yu J. Synchronization in small-world oscillator networks with coupling delays. Physica A 2004; 335(4):359-364.
31. Li CG, Chen G. Synchronization in general complex dynamical networks with coupling delays. Physica A 2004; 343:263-278.
32. Li CP, Sun WG, Kurths J. Synchronization of complex dynamical networks with time-delays. Physica A 2006; 361:24-34.
33. Porfiri M, Stilwell DJ. Consensus seeking over random weighted directed graphs. IEEE Transactions on Automatic Control 2007; 52(9):1767-1773.
34. Balthrop J, Forrest S, Newman MEJ, Williamson MM. Technological networks and the spread of computer viruses. Science 2004; 304:527-529.
35. Jin X, Yang G. Adaptive synchronization of a class of uncertain complex networks against network deterioration. IEEE Transactions on Circuits and Systems-I: Regular Papers 2011; 58(6):1396-1409.
36. Zhao Y, Jiang G. Fault diagnosis for a class of output-coupling complex dynamical networks with time delay. Acta Physica Sinica 2011; 60(11):110206.
37. Zhao J, Lu JA, Zhang Q. Pinning a complex delayed dynamical network to a homogenous trajectory. IEEE Transactions on Circuits and Systems Part II - Express Briefs 2009; 56(6):514-518.
38. Guo W, Austin F, Chen S, Sun W. Pinning synchronization of the complex networks with non-delayed and delayed coupling. Physics Letters A 2009; 373(17):1565-1572.
39. Yu W, Chen G, Lu J. On pinning synchronization of complex dynamical networks. Automatica 2009; 45(2): 429-435.
40. Li Z, Chen G. Robust adaptive synchronization of uncertain dynamical networks. Physics Letters A 2004; 324(3):166-178.
41. Zhou J, Lu JA, Lu J. Adaptive synchronization of an uncertain complex dynamical network. IEEE Transactions on Automatic Control 2006; 54(4):652-656.
42. Zhang Q, Lu J, Lu J, Tse C. daptive feedback synchronization of a general complex dynamical network with delayed nodes. IEEE Transactions on Circuits and Systems Part II - Express Briefs 2008; 55(2):183-187.
43. Chen G, Lewis FL. Distributed adaptive tracking control for synchronization of unknown networked lagrangian systems. IEEE Transactions on Systems, Man, and Cybernetics- B: Cybernetics 2011; 41(3):805-816.
44. Yu W, De Lellis P, Chen G, di Bernardo M, Kurths J. Distributed adaptive control of synchronization in complex networks. IEEE Transactions on Automatic Control 2012; 57(8):2153-2158.
45. Cui L, Kumara S, Albert R. Complex networks: an engineering view. IEEE Circuits and Systems Magazine 2010; 3:10-25.
46. Liu M, Shi P, Zhang L, Zhao X. Fault tolerant control for nonlinear Markovian jump systems via proportional and Derivative sliding mode observer. IEEE Trans on Circuits and Systems I: Regular Papers 2011; 58(11):2755-2764.
47. Gao Z, Jiang B, Shi P, Liu J, Xu Y. Passive fault tolerant control design for near space hypersonic vehicle dynamical system. Circuits Systems and Signal Processing 2012; 31(2):565-581.
48. Shi P, Boukas EK, Nguang SK, Guo X. Robust disturbance attenuation for discrete-time active fault tolerant control systems with uncertainties. Optimal Control Applications and Methods 2003; 24:85-101.
49. Xu Y, Jiang B, Tao G, Gao Z. Fault accommodation for near space hypersonic vehicle with actuator fault. International Journal of Innovative Computing, Information and Control 2011; 7(5A):2187-2200.
50. Shumsky A, Zhirabok A, Jiang B. Fault accommodation in nonlinear and linear dynamic systems: fault decoupling based approach. International Journal of Innovative Computing, Information and Control 2011; 7(7(B)):4535-4550.
51. Henry D. Structured fault detection filters for LPV systems modeled in an LFR manner. International Journal of Adaptive Control and Signal Processing 2012; 26:190-207.
52. Blesa J, Puig V, Saludes J. Identification for passive robust fault detection using zonotope-based set-membership approaches. International Journal of Adaptive Control and Signal Processing 2011; 25:788-812.
53. Gayaka S, Yao B. Accommodation of unknown actuator faults using output feedback-based adaptive robust control. International Journal of Adaptive Control and Signal Processing 2011; 25:965-982.
54. Du D, Jiang B, Shi P. Sensor fault estimation and compensation for time-delay switched systems. International Journal of Systems Science 2012; 43(4):629-640.
55. Gao Z, Jiang B, Shi P, Qian M, Lin J. Active fault tolerant control design for reusable launch vehicle using adaptive sliding mode technique. Journal of the Franklin Institute 2012; 349(4):1543-1560.
56. Jiang B, Gao Z, Shi P, Xu Y. Adaptive fault-tolerant tracking control of near-space vehicle using TakagiCSugeno fuzzy models. IEEE Transactions on Fuzzy Systems 2010; 18(5):1000-1007.
57. Jiang B, Staroswiecki M, Cocquempot V. Fault accommodation for nonlinear dynamic systems. IEEE Transactions on Automatic Control 2006; 51(9):1578-1583.
58. Wu X. Synchronization-based topology identification of weighted general complex dynamical networks with time-varying coupling delay. Physica A: Statistical Mechanics and its Applications 2008; 387(4):997-1008.
59. Li H. Synchronization stability for discrete-time stochastic complex networks with probabilistic interval time-varying delays. International Journal of Innovative Computing, Information and Control 2011; 7(2):697-708.
60. Chen J, Patton R. Robust Model-Based Fault Diagnosis for Dynamic System. Kluwer Academic Publishers: Dordrecht, 1999.
61. Pecora LM, Carroll TL. Synchronization in chaotic systems. Physical Review Letters 1990; 64(8):821-824.
62. Yan J, Guan X, Luo X, Yang X. Consensus and trajectory planning with input constraints for multi-agent systems. Acta Automatica Sinica 2012; 38(7):1074-1082.
63. Eryurek E, Upadhyaya B. Fault-tolerant control and diagnostics for large-scale systems. IEEE Control Systems 1995; 15(5):34-42.
64. Sun J, Wang Z, Hu S. Decentralized robust fault-tolerant control for a class uncertain large-scale interconnected systems. Fifth World Congress on Intelligent Control and Automation 2004:1510-1513.
65. Zhao M, Liu H, Li Z, Sun D, Liu K. Fault Tolerant control for networked control systems with access constraints. Acta Automatica Sinica 2012; 38(7):1119-1126.
66. Feng J, Wang S. Reliable fuzzy control for a class of nonlinear networked control systems with time delay. Acta Automatica Sinica 2012; 38(7):1091-1099.
67. ∞control with adaptive compensation. Acta Automatica Sinica 2013; 39(1):31-42.
68. Cao JD, Yu W, Qu Y. A new complex network model and convergence dynamics for reputation computation in virtual organizations. Physics Letters A 2006; 356:414-425.