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Outer synchronization of small-world networks by a second-order sliding mode controller

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Abstract

In this paper, we investigate outer synchronization of two small-world dynamical networks via second-order sliding mode control strategy. In particular, based on the coupling feature of the nodes, a message feedback chain is established. And then, the synchronization will be analyzed via pinning some nodes. By means of the second-order sliding mode theory, we propose the effective controller to realize outer synchronization between two small-world networks with a lower cost. Finally, we present some simulations to illustrate the theoretical results.

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Acknowledgements

This research was supported by the National Science Foundation of China (Grants 11602146, 11572015), Chenguang Program supported by Shanghai Education Development Foundation and Shanghai Municipal Education Commission (No. 16CG65), and the Introduction of Talents Scientific Research Project of Shanghai Institute of Technology (No. YJ2016-16).

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Authors and Affiliations

  1. School of Mechanical Engineering, Shanghai Institute of Technology, Shanghai, 201418, China

    Shuang Liu

  2. Department of Dynamics and Control, Beihang University, Beijing, 100191, China

    Qingyun Wang

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  1. Shuang Liu
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  2. Qingyun Wang
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Correspondence to Shuang Liu.

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Liu, S., Wang, Q. Outer synchronization of small-world networks by a second-order sliding mode controller. Nonlinear Dyn 89, 1817–1826 (2017). https://doi.org/10.1007/s11071-017-3554-6

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