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Hilger-type impulsive differential inequality and its application to impulsive synchronization of delayed complex networks on time scales

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References

  1. 1

    Pecora L M, Carroll T L. Synchronization in chaotic system. Phys Rev Lett, 1990, 64: 821–824

  2. 2

    Chen W H, Lu X M, Zheng W X. Impulsive stabilization and impulsive synchronization of discrete-time delayed neural networks. IEEE Trans Neural Netw Learn Syst, 2015, 26: 734–748

  3. 3

    Zhou J, Wu Q J, Xiang L. Pinning complex delayed dynamical networks by a single impulsive controller. IEEE Trans Circ Syst I: Reg Papers, 2011, 58: 2882–2893

  4. 4

    Lu J Q, Ho DWC, Cao J D. A unified synchronization criterion for impulsive dynamical networks. Automatica, 2010, 46: 1215–1221

  5. 5

    Guan Z H, Liu Z W, Feng G, et al. Synchronization of complex dynamical networks with time-varying delays via impulsive distributed control. IEEE Trans Circ Syst I: Reg Papers, 2010, 57: 2182–2195

  6. 6

    Liu Y R, Wang Z D, Liang J L, et al. Synchronization and state estimation for discrete-time complex networks with distributed delays. IEEE Trans Syst Man Cybern B, 2008, 38: 1314–1325

  7. 7

    Adivar M, Bohner E A. Halanay type inequalities on time scales with applications. Nonlinear Anal: Theo Meth Appl, 2011, 74: 7519–7531

  8. 8

    Bohner M, Peterson A. Dynamic Equations on Time Scales — An Introduction With Applications. Boston: Birkhäuser, 2003

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Acknowledgements

This work was supported by National Natural Science Foundation of China (Grant Nos. 61573005, 11361010, 61573096, 61272530).

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Correspondence to Zhenkun Huang.

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Huang, Z., Cao, J. & Raffoul, Y.N. Hilger-type impulsive differential inequality and its application to impulsive synchronization of delayed complex networks on time scales. Sci. China Inf. Sci. 61, 78201 (2018). https://doi.org/10.1007/s11432-017-9304-7

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