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Fixed-time synchronization of complex networks with impulsive effects and stochastic perturbations

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Abstract

In this paper, the fixed-time synchronization issue of complex networks under stochastic fluctuations and impulsive effects is studied. First, a novel lemma for the fixed-time stability of nonlinear impulsive system with stochastic perturbations is given. Different from some early published works in which the comparative system technique was used to explore the stability of impulsive systems, the settling time is estimated based on direct calculation approach, which end up more accurate settling time estimation. Then, with the help of this lemma, a simple continuous control protocol is designed and some sufficient conditions for the fixed-time synchronization of the complex networks are given by employing the inequality technique and Lyapunov function method. At the end, two examples are given to verify the validity of obtained theoretical results.

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The MATLAB code used for the simulation can be provided via email if required.

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Funding

This work was supported by the National Natural Science Foundation of China (Grant no. 62266042) and the Outstanding Youth Program of Xinjiang, China (Grant no. 2022D01E10).

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Authors and Affiliations

  1. College of Mathematics and System Sciences, Xinjiang University, Urumqi, 830046, Xinjiang, People’s Republic of China

    Qihang Wang & Abdujelil Abdurahman

Authors
  1. Qihang Wang
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  2. Abdujelil Abdurahman
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Contributions

Qihang Wang contributed to writing, methodology and visualization, and Abdujelil Abdurahman contributed to review, editing and funding acquisition.

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Correspondence to Abdujelil Abdurahman.

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Wang, Q., Abdurahman, A. Fixed-time synchronization of complex networks with impulsive effects and stochastic perturbations. Int. J. Dynam. Control 11, 2580–2588 (2023). https://doi.org/10.1007/s40435-023-01122-8

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  • DOI: https://doi.org/10.1007/s40435-023-01122-8

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