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Almost surely synchronization of directed coupled neural networks via stochastic distributed delayed impulsive control

Author

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  • Dong, Shiyu
  • Shi, Kaibo
  • Wen, Shiping
  • Shen, Yuan
  • Zhong, Shouming

Abstract

This paper mainly focuses on studying the almost surely synchronization problem of directed coupled neural networks with time-varying delays. A new type of stochastic distributed impulsive controller is proposed to take impulse delays into account, where impulsive gains are assumed to obey the Gaussian distribution. By taking advantage of basic properties associated with graph theory, the Chebyshev inequality, the Borel–Cantelli Lemma and the Lyapunov functional method, some sufficient conditions for almost surely synchronization of delayed coupled impulsive neural networks with random impulsive gains are presented. Our result shows that, under the proposed stochastic impulsive control scheme, almost surely synchronization can be achieved even if the size of delays exceeds the length of impulsive intervals. Finally, two numerical examples are provided to verify the validity of the theoretical results.

Suggested Citation

  • Dong, Shiyu & Shi, Kaibo & Wen, Shiping & Shen, Yuan & Zhong, Shouming, 2023. "Almost surely synchronization of directed coupled neural networks via stochastic distributed delayed impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    • Handle: RePEc:eee:chsofr:v:174:y:2023:i:c:s0960077923006434
    DOI: 10.1016/j.chaos.2023.113742
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    References listed on IDEAS

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    1. Yi, Chengbo & Feng, Jianwen & Wang, Jingyi & Xu, Chen & Zhao, Yi, 2017. "Synchronization of delayed neural networks with hybrid coupling via partial mixed pinning impulsive control," Applied Mathematics and Computation, Elsevier, vol. 312(C), pages 78-90.
    2. Steven H. Strogatz, 2001. "Exploring complex networks," Nature, Nature, vol. 410(6825), pages 268-276, March.
    3. Li, Ping & Cao, Jinde & Wang, Zidong, 2007. "Robust impulsive synchronization of coupled delayed neural networks with uncertainties," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 373(C), pages 261-272.
    4. Ding, Dong & Tang, Ze & Wang, Yan & Ji, Zhicheng, 2020. "Synchronization of nonlinearly coupled complex networks: Distributed impulsive method," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
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