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Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations

  • Meng Yan , Minghui Jiang EMAIL logo and Kaifang Fei
Published/Copyright: November 30, 2021
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International Journal of Nonlinear Sciences and Numerical Simulation
From the journal International Journal of Nonlinear Sciences and Numerical Simulation Volume 23 Issue 3-4

Abstract

In this paper, we investigate the dissipativity of a class of BAM neural networks with both time-varying and distributed delays, as well as discontinuous activations. First, the concept of the Filippov solution is extended to functional differential equations with discontinuous right-hand sides via functional differential inclusions. Then, by constructing Lyapunov functional and employing a generalized Halanay inequality, several sufficient easy-to-test conditions are successfully obtained to guarantee the global dissipativity of the Filippov solution of the considered system. The derived results extend and improve some previous publications on conventional BAM neural networks. Meanwhile, the estimations of the positive invariant and globally attractive set are given. Finally, numerical simulations are provided to demonstrate the effectiveness of our proposed results.

Keywords: discontinuous activations; distributed delays; global dissipativity; Halanay inequality; nonautonomous BAM neural networks; time-varying delays
Corresponding author: Minghui Jiang, Institute of Nonlinear Complex Systems, China Three Gorges University, YiChang, Hubei 443000, China; and Three Gorges Mathematical Research Center, China Three Gorges University, YiChang, Hubei 443000, China, E-mail:

Funding source: National Natural Science Foundation of China

Award Identifier / Grant number: 61374028 and 61304162

  1. Author contribution: All the authors have accepted responsibility for the entire content of this submitted manuscript and approved submission.

  2. Research funding: The research is supported by National Natural Science Foundation of China (Grant Nos. 61374028 and 61304162).

  3. Conflict of interest statement: The authors declare no conflicts of interest regarding this article.

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Received: 2019-03-05
Revised: 2021-06-10
Accepted: 2021-11-04
Published Online: 2021-11-30
Published in Print: 2022-06-25

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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https://doi.org/10.1515/ijnsns-2019-0078
Keywords for this article
discontinuous activations; distributed delays; global dissipativity; Halanay inequality; nonautonomous BAM neural networks; time-varying delays

Articles in the same Issue

  1. Frontmatter
  2. Original Research Articles
  3. Dynamics of synthetic drug transmission models
  4. Collision-induced amplitude dynamics of pulses in linear waveguides with the generic nonlinear loss
  5. Global dissipativity of non-autonomous BAM neural networks with mixed time-varying delays and discontinuous activations
  6. On the inverse problem for nonlinear strongly damped wave equations with discrete random noise
  7. A second-order nonlocal regularized variational model for multiframe image super-resolution
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  9. Singularity analysis of a 7-DOF spatial hybrid manipulator for medical surgery
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  11. Limit cycles in a tritrophic food chain model with general functional responses
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  14. Electrostatically actuated double walled piezoelectric nanoshell subjected to nonlinear van der Waals effect: nonclassical vibrations and stability analysis
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