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Successive lag synchronization of distributed-order multilayer neural networks with the short-term memory property

Author

Listed:
  • Yang, Dongsheng
  • Wang, Hu
  • Ren, Guojian
  • Yu, Yongguang
  • Xu, Weiyi

Abstract

This paper investigates the problem of successive lag synchronization for distributed-order multilayer neural networks with short-term memory characteristic. At first, a definition of distributed-order derivative with short-term memory is proposed to better describe the dynamic behavior of network nodes. Based on this definition, a distributed-order multilayer neural network model with short-term memory property is established. Subsequently, by employing the Laplace transform method, the short memory distributed-order Halanay-type inequality is derived. Furthermore, two sets of successive lag synchronization criteria for the considered system are obtained using a linear feedback controller and an adaptive controller, respectively. Finally, the validity of the conclusions is verified through two numerical examples.

Suggested Citation

  • Yang, Dongsheng & Wang, Hu & Ren, Guojian & Yu, Yongguang & Xu, Weiyi, 2024. "Successive lag synchronization of distributed-order multilayer neural networks with the short-term memory property," Applied Mathematics and Computation, Elsevier, vol. 479(C).
    • Handle: RePEc:eee:apmaco:v:479:y:2024:i:c:s0096300324003497
    DOI: 10.1016/j.amc.2024.128888
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    References listed on IDEAS

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