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This paper focuses on the consistency problem of a complex delayed dynamical network with stochastic disturbance. The complex network under consideration includes not only stochastic disturbance but also the varying time-delay which appear in the coupling term and the node system simultaneously. Therefore, such a network is more general. Based on the stochastic Lyapunov stability theory, linear feedback control and linear matrix inequality, some new asymptotic consistency sufficient conditions are established which guarantee the consistency for the nodes of this network and an isolated system in the delay-independent and delay-dependent levels. Finally illustrative simulation is provided to verify the correctness and effectiveness of the proposed scheme.
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Keywords:
- stochastic disturbance /
- complex delayed dynamical network /
- consistency /
- linear feedback control
[1] Watts D J, Strogatz S H 1998 Nature 391 440
[2] Barabasi A L, Albert R 1999 Science 286 509
[3] Strogatz S H 2001 Nature 410 268
[4] Satorras R P, Vespignani A 2001 Phys. Rev. Lett. 14 3200
[5] Ebel H, Mielsch L I, Bornholdt 2002 Phys. Rev. E 66 035103
[6] Zhang J, Small M 2006 Phys. Rev. Lett. 96 238
[7] Zhou J, Chen T, Xiang L 2005 Circuits Syst. Signal Proc. 24 599
[8] Bennett M V L, Zukin R S 2004 Neuron 41 495
[9] Wang X F, Chen G 2002 Internat. J. Bifur. Chaos 12 187
[10] Wang X F, Chen G 2002 IEEE Trans. Circuits Syst. I 49 54
[11] Pecora L M, Carroll T L 1998 Phys. Rev. Lett. 80 2109
[12] Liu X W, Chen T P 2007 Physica A 381 82
[13] Pan H, Nian X H 2010 Acta Automat. Sin. 36
[14] Zhang J, Liu B 2010 Applied Mechanics and Materials 128-129 946
[15] Wang Z D, Wang Y 2010 IEEE Trans. Neural Networks 21 11
[16] Park P, Ko J W, Jeong C 2011 Automatica 47 235
[17] Li C, Xu H, Liao X, Yu J 2004 Physica A 335 359
[18] Wang W, Slotine J J E 2006 IEEE Trans. Autom. Control 51 712
[19] Zhao J C, Lu J A, Zhang Q J 2009 IEEE Trans. Circuits Syst. II Exp. Briefs 56
[20] Wang Y, Wang Z D 2008 Phys. Lett. A 372 6066
[21] Yu W W, Chen G 2011 Asian Journal of Contral. 13 1
[22] Tu L L 2011 Chin. Phys. B 20 030504
[23] Lu J, Cao J 2007 Physica A 382 672
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[1] Watts D J, Strogatz S H 1998 Nature 391 440
[2] Barabasi A L, Albert R 1999 Science 286 509
[3] Strogatz S H 2001 Nature 410 268
[4] Satorras R P, Vespignani A 2001 Phys. Rev. Lett. 14 3200
[5] Ebel H, Mielsch L I, Bornholdt 2002 Phys. Rev. E 66 035103
[6] Zhang J, Small M 2006 Phys. Rev. Lett. 96 238
[7] Zhou J, Chen T, Xiang L 2005 Circuits Syst. Signal Proc. 24 599
[8] Bennett M V L, Zukin R S 2004 Neuron 41 495
[9] Wang X F, Chen G 2002 Internat. J. Bifur. Chaos 12 187
[10] Wang X F, Chen G 2002 IEEE Trans. Circuits Syst. I 49 54
[11] Pecora L M, Carroll T L 1998 Phys. Rev. Lett. 80 2109
[12] Liu X W, Chen T P 2007 Physica A 381 82
[13] Pan H, Nian X H 2010 Acta Automat. Sin. 36
[14] Zhang J, Liu B 2010 Applied Mechanics and Materials 128-129 946
[15] Wang Z D, Wang Y 2010 IEEE Trans. Neural Networks 21 11
[16] Park P, Ko J W, Jeong C 2011 Automatica 47 235
[17] Li C, Xu H, Liao X, Yu J 2004 Physica A 335 359
[18] Wang W, Slotine J J E 2006 IEEE Trans. Autom. Control 51 712
[19] Zhao J C, Lu J A, Zhang Q J 2009 IEEE Trans. Circuits Syst. II Exp. Briefs 56
[20] Wang Y, Wang Z D 2008 Phys. Lett. A 372 6066
[21] Yu W W, Chen G 2011 Asian Journal of Contral. 13 1
[22] Tu L L 2011 Chin. Phys. B 20 030504
[23] Lu J, Cao J 2007 Physica A 382 672
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