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Topology Identification of General Dynamical Network with Distributed Time Delays |
| WU Zhao-Yan, FU Xin-Chu |
| Department of Mathematics, Shanghai University, Shanghai 200444 |
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| Cite this article: |
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WU Zhao-Yan, FU Xin-Chu 2009 Chin. Phys. Lett. 26 070201 |
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Abstract General dynamical networks with distributed time delays are studied. The topology of the networks are viewed as unknown parameters, which need to be identified. Some auxiliary systems (also called the network estimators) are designed to achieve this goal. Both linear feedback control and adaptive strategy are applied in designing these network estimators. Based on linear matrix inequalities and the Lyapunov function method, the sufficient condition for the achievement of topology identification is obtained. This method can also better monitor the switching topology of dynamical networks. Illustrative examples are provided to show the effectiveness of this method.
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| Keywords:
02.40.Pc
64.60.Aq
05.45.Xt
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Received: 20 February 2009
Published: 02 July 2009
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[1] Watts D J and Strogatz S H 1998 Nature 393 440
[2]Girvan M and Newman M E J 2002 Proc. Natl. Acad. Sci.USA 99 7821
[3] Gronlund A and Holme P 2004 Phys. Rev. E 70 036108
[4] Serrano M and Bogu\~{n\'{a M 2003 Phys. Rev. E 68 015101(R)
[5] Albert R, Jeong H and Barab\'{asi A L 1999 Nature 401 130
[6] Williams R J and Martinez N D 2000 Nature 404 180
[7] Li C P, Sun W G and Kurths J 2007 Phys. Rev. E 76 046204
[8] Lu W L and Chen T P 2004 Phys. D 198 148
[9] Lu J H, Yu X H and Chen G R 2004 Physica A 334 281
[10] Wang K, Teng Z D and Jiang H J 2008 Physica A 387 631
[11] Creveling D R, Jeanne J M and Abarbanel H D I 2008 Phys. Lett. A 372 2043
[12] Yu W W and Cao J D 2007 Physica A 375 467
[13] Ge Z M and Yang C H 2007 Physica D 231 87
[14] Yu D C, Righero M and Kocarev L 2006 Phys. Rev.Lett. 97 188701
[15] Zhou J and Lu J A 2007 Physica A 386 481
[16] Wu X Q 2008 Physica A 387 997
[17] Liao T L and Lin S H 1999 J. Franklin Institute 336 925
[18] Lu W L, Atay F M and Jost J 2008 Eur. Phys. J. B 63 399
[19] Li C H and Yang S Y 2008 Int. J. Bifur. Chaos 18 (7) 2039
[20] Lu J H and Chen G R 2002 Int. J. Bifur. Chaos 12 659 |
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