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Fault diagnosis is a challenging issue in complex dynamical networks. In the real-world complex dynamical networks, there exists much uncertain information, such as unknown topological structure and uncertain node parameters. Based on network outer synchronization, an approach to fault diagnosis is proposed for a class of output-coupling time delay complex dynamical networks with unknown node parameters. Output variables are used to construct the controllers. A few conditions satisfying outer synchronization are specified from Lyapunov stability theorem. The proposed approach can be used to monitor the online evolution of time-delay network topological structure. Numerical simulations are given to verify the effectiveness of the proposed approach.
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Keywords:
- complex dynamical networks /
- time delay /
- fault diagnosis /
- nodes parameters
[1] Strogatz S H 2001 Nature 410 26
[2] [3] Barabasi A L, Albert R 1999 Science 286 509
[4] [5] Watts D J, Strogatz S H 1998 Nature 393 440
[6] Wang X F, Li X, Chen G R 2006 Complex Network Theroy and Application (Beijing: Tsinghua University Press) p3 (in Chinese) [汪小帆、李 翔、陈关荣 2006 复杂网络理论及其应用 (北京: 清华大学出版社) 第3页]
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[10] Tang K S, Mao Y, Kocarev L 2007 IEEE International Symposium on Circuits and Systems New Orleans, LA May 27-30 p2646
[11] [12] [13] Zhou J, Lu J A 2007 Physica A 386 481
[14] [15] Liu H, Lu J A, L J H 2008 IEEE International Symposium on Circuits and Systems Seattle, America May18-21 p109
[16] [17] Wu X Q 2008 Physica A 387 997
[18] Liu H, Lu J A, L J H 2008 Control Conference 27th Chinese Kunming, China July 16-18 p419
[19] [20] [21] Jiang G P, Tang K S, Chen G R 2006 IEEE Tran. on Circ. and Sys. I 53 2739
[22] [23] Fan C X, Jiang G P, Jiang F H 2010 IEEE Trans. on Circ. and Sys. I 57 2991
[24] Liu H, Song Y R, Fan C X, Jiang G P 2010 Chin. Phys. B 19 070508
[25] [26] [27] Wang Y H, Wang S P, Jiang G P 2010 Acta Elec. Sin. 38 1064(in Chinese)[万佑红、王锁萍、蒋国平 2010 电子学报 38 1064[WX)]
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[1] Strogatz S H 2001 Nature 410 26
[2] [3] Barabasi A L, Albert R 1999 Science 286 509
[4] [5] Watts D J, Strogatz S H 1998 Nature 393 440
[6] Wang X F, Li X, Chen G R 2006 Complex Network Theroy and Application (Beijing: Tsinghua University Press) p3 (in Chinese) [汪小帆、李 翔、陈关荣 2006 复杂网络理论及其应用 (北京: 清华大学出版社) 第3页]
[7] [8] [9] Pyragas K 1998 Phys. Rev. E 58 3067
[10] Tang K S, Mao Y, Kocarev L 2007 IEEE International Symposium on Circuits and Systems New Orleans, LA May 27-30 p2646
[11] [12] [13] Zhou J, Lu J A 2007 Physica A 386 481
[14] [15] Liu H, Lu J A, L J H 2008 IEEE International Symposium on Circuits and Systems Seattle, America May18-21 p109
[16] [17] Wu X Q 2008 Physica A 387 997
[18] Liu H, Lu J A, L J H 2008 Control Conference 27th Chinese Kunming, China July 16-18 p419
[19] [20] [21] Jiang G P, Tang K S, Chen G R 2006 IEEE Tran. on Circ. and Sys. I 53 2739
[22] [23] Fan C X, Jiang G P, Jiang F H 2010 IEEE Trans. on Circ. and Sys. I 57 2991
[24] Liu H, Song Y R, Fan C X, Jiang G P 2010 Chin. Phys. B 19 070508
[25] [26] [27] Wang Y H, Wang S P, Jiang G P 2010 Acta Elec. Sin. 38 1064(in Chinese)[万佑红、王锁萍、蒋国平 2010 电子学报 38 1064[WX)]
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