4.5 Article

Polynomial synchronization of complex-valued inertial neural networks with multi-proportional delays

Journal

COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 74, Issue 12, Pages -

Publisher

IOP Publishing Ltd
DOI: 10.1088/1572-9494/ac8bce

Keywords

complex-valued inertial neural networks; polynomial synchronization; multi-proportional delays; non-separation approach

Funding

  1. National Natural Science Foundation of China
  2. Natural Science Foundation of Shandong Province of China
  3. Research Fund for the Taishan Scholar Project of Shandong Province of China
  4. Science and Technology Support Plan for Youth Innovation of Colleges and Universities of Shandong Province of China
  5. SDUST Research Fund
  6. [61503222]
  7. [62173214]
  8. [ZR2021MF100]
  9. [2019KJI005]

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This paper investigates the polynomial synchronization problem of complex-valued inertial neural networks with multi-proportional delays. It analyzes the problem using the non-separation method. Firstly, an exponential transformation is applied and an appropriate controller is designed. Then, a new sufficient criterion for polynomial synchronization is derived using the Lyapunov function approach and inequalities techniques. A numerical example is provided to illustrate the effectiveness of the obtained result.
This paper investigates the polynomial synchronization (PS) problem of complex-valued inertial neural networks with multi-proportional delays. It is analyzed based on the non-separation method. Firstly, an exponential transformation is applied and an appropriate controller is designed. Then, a new sufficient criterion for PS of the considered system is derived by the Lyapunov function approach and some inequalities techniques. In the end, a numerical example is given to illustrate the effectiveness of the obtained result.

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