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Synchronization of an uncertain small-world neuronal network based on modified sliding mode control technique

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Abstract

In this paper, we propose a novel sliding mode control technique for synchronization transmission of information in a small-world neuronal network with uncertainty. First, we introduce the structure of small-world neuronal network. Then, we modified the sliding mode control technique to make it suitable for network synchronization. The control input of the small-world neuronal network and the adaptive law of the uncertain configuration coefficient can be effectively determined by using this modified technique. Finally, we compare our analytic results with numerical simulations through a few examples.

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Acknowledgments

This research was supported by the Science and Technology Foundation of Liaoning Provincial Education Department, China (Grant No. L2013410).

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Authors and Affiliations

  1. School of Physics and Electronic Technology, Liaoning Normal University, Dalian, 116029, China

    Ao Sun, Ling Lü & Chengren Li

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  1. Ao Sun
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  2. Ling Lü
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  3. Chengren Li
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Correspondence to Ling Lü.

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Sun, A., Lü, L. & Li, C. Synchronization of an uncertain small-world neuronal network based on modified sliding mode control technique. Nonlinear Dyn 82, 1905–1912 (2015). https://doi.org/10.1007/s11071-015-2286-8

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  • DOI: https://doi.org/10.1007/s11071-015-2286-8

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