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Stabilization of stochastic complex networks with switching jump diffusions based on adaptive aperiodically intermittent control

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Abstract

In this article, the exponential stabilization of stochastic complex networks with time delays, uncertainties and switching jump diffusions (SCNTDUSJD) is investigated via adaptive aperiodically intermittent control. It deserves mentioning that switching jump diffusions are state dependent and adaptive aperiodically intermittent control is applied to study the stabilization of SCNTDUSJD for the first time. Primarily, the Lyapunov function of SCNTDUSJD is constructed. Based on graph theory and the Lyapunov method, some sufficient conditions are given to ensure the exponential stability of SCNTDUSJD, which reflects that the controller plays an important role in the realization of stabilization. At the same time, our results can be applied to stochastic coupled oscillators with switching jump diffusions. Finally, in order to explain the effectiveness of theoretical results, relative numerical results are presented.

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Authors and Affiliations

  1. School of Mathematical Sciences, Tiangong University, Tianjin, 300387, PR China

    Dianhui Chu

  2. School of Mathematical Sciences, Tiangong University, Tianjin, 300387, PR China

    Yan Liu

  3. Department of Mathematics, Harbin Institute of Technology(Weihai), Weihai, 264209, People’s Republic of China

    Yaxuan Zou & Huan Su

Authors
  1. Yan Liu
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  2. Dianhui Chu
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  3. Yaxuan Zou
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  4. Huan Su
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Correspondence to Dianhui Chu.

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The authors thank the reviewers and the editor for their valuable comments. This work was supported by National Key Research and Development Program of China (No. 2018YFB1702900), National Natural Science Foundation of China (Nos. 61772159, 61832004), Shandong Province Natural Science Foundation (Nos. ZR2017MF026, ZR2018MA005, ZR2018MA020, ZR2017MA008), the Key Project of Science and Technology of Weihai (No. 2014DXGJMS08), the Project of Shandong Province Higher Educational Science and Technology Program of China (No. J18KA218) and the Innovation Technology Funding Project in Harbin Institute of Technology (No. HIT.NSRIF.201703).

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Liu, Y., Chu, D., Zou, Y. et al. Stabilization of stochastic complex networks with switching jump diffusions based on adaptive aperiodically intermittent control. Nonlinear Dyn 104, 3737–3751 (2021). https://doi.org/10.1007/s11071-021-06467-3

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  • DOI: https://doi.org/10.1007/s11071-021-06467-3

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