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随机扰动下时滞复杂动力网络的一致性

柯超 王志明 涂俐兰

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随机扰动下时滞复杂动力网络的一致性

柯超, 王志明, 涂俐兰

Consistency of a complex delayed dynamical network with stochastic disturbance

Ke Chao, Wang Zhi-Ming, Tu Li-Lan
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  • 研究了随机扰动下一般时滞复杂动力网络的一致性问题, 此复杂动力网络不仅具有随机扰动而且时变时滞同时出现在耦合项和节点系统中, 所以这样的网络更具有一般性. 基于随机Lyapunov 稳定性理论、线性反馈控制理论和线性矩阵不等式, 从理论上提出了此网络各个节点与孤立系统达到时滞无关和时滞相关一致性的充分条件.最后的数值模拟验证了理论结果的正确性和有效性.
    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.
    • 基金项目: 国家自然科学基金(批准号: 60904060)和冶金工业过程系统科学湖北省重点实验室开放基金 (批准号: C201010)资助的课题.
    • Funds: Project supported by the National Natural Science Foundation of China (Grant No. 60904060) and the Open Foundation of Hubei Province Key Laboratory of Systems Science in Metallurgical Process, China (Grant No. C201010).
    [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

  • [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

计量
  • 文章访问数:  6126
  • PDF下载量:  557
  • 被引次数: 0
出版历程
  • 收稿日期:  2012-06-02
  • 修回日期:  2012-07-18
  • 刊出日期:  2013-01-05

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