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Adaptive finite-time outer synchronization between two complex dynamical networks with noise perturbation

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Abstract

In this paper, the finite-time outer synchronization between two complex dynamical networks with noise perturbation is considered. Combing the adaptive and finite-time control technologies, a novel adaptive finite-time controller is designed. Based on the finite-time stability theory of stochastic differential equations, sufficient conditions for the finite-time stochastic outer synchronization between two complex networks with identical as well as nonidentical configurations are obtained, respectively. Finally, numerical examples are examined to illustrate the effectiveness and feasibility of the theoretical results.

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Acknowledgements

We thank the anonymous referees for their helpful comments and suggestions. M. Liu is supported by the National Sciences Foundation of China (11571324, 11301491,11331009), the National Sciences Foundation of Shanxi Province(2015011009, 201601D021015) and the Scientific Activities of Selected Returned Overseas Professionals in Shanxi Province; Y. Sun is supported by the National Sciences Foundation of China (61403393).

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Authors and Affiliations

  1. Department of Mathematics, North University of China, Taiyuan, 030051, China

    Maoxing Liu

  2. School of Mathematics, China University of Mining and Technology, Xuzhou, 221116, China

    Jie Wu & Yong-zheng Sun

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  1. Maoxing Liu
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  2. Jie Wu
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  3. Yong-zheng Sun
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Correspondence to Maoxing Liu.

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Liu, M., Wu, J. & Sun, Yz. Adaptive finite-time outer synchronization between two complex dynamical networks with noise perturbation. Nonlinear Dyn 89, 2967–2977 (2017). https://doi.org/10.1007/s11071-017-3639-2

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  • DOI: https://doi.org/10.1007/s11071-017-3639-2

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