Advances in Computational Design

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Stability of stochastic neutral neural networks with delays

  • Xiaoqi Sun (School of Mathematics and Statistics, Qingdao University) ;
  • Ling Zhang (School of Mathematics and Statistics, Qingdao University)
  • Received : 2024.01.08
  • Accepted : 2024.05.16
  • Published : 2024.04.25
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Abstract

In this paper, we proposed a new class of stochastic neutral neural networks with uncertain and deterministic coefficients. Made the Sigmund activation and Lipschitz activation functions less conditional. The Lyapnov-Krasovskii functional is constructed. The linear matrix inequality (LMI) is constructed using Schur's lemma, and new criteria for the global asymptotic stability and global asymptotic robust stability of neural networks are obtained. Furthermore, we have verified that the method is effective and feasible through numerical examples.

Keywords

References

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  85. Shariati, A., Habibi, M., Tounsi, A., Safarpour, H. and Safa, M. (2020a), "Application of exact continuum size-dependent theory for stability and frequency analysis of a curved cantilevered microtubule by considering viscoelastic properties", Eng. Comput., 1-20. https://doi.org/10.1007/s00366-020-01024-9. 
  86. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020b), "On the vibrations and stability of moving viscoelastic axially functionally graded nanobeams", Materials, 13(7), 1707. https://doi.org/10.3390/ma13071707. 
  87. Shariati, A., Mohammad-Sedighi, H., Zur, K.K., Habibi, M. and Safa, M. (2020c), "Stability and dynamics of viscoelastic moving rayleigh beams with an asymmetrical distribution of material parameters", Symmetry, 12(4), 586. https://doi.org/10.3390/sym12040586. 
  88. Shariati, M., Kamyab, H., Habibi, M., Ahmadi, S., Naghipour, M., Gorjinezhad, F., Mohammadirad, S. and Aminian, A. (2023), "Sulfuric acid resistance of concrete containing coal waste as a partial substitute for fine and coarse aggregates", Fuel, 348, 128311. https://doi.org/10.1016/j.fuel.2023.128311. 
  89. Shokrgozar, A., Safarpour, H. and Habibi, M. (2020), "Influence of system parameters on buckling and frequency analysis of a spinning cantilever cylindrical 3D shell coupled with piezoelectric actuator", Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 234(2), 512-529. https://doi.org/10.1177/0954406219883312. 
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