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Quasi-invariant and attractive sets of inertial neural networks with time-varying and infinite distributed delays

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Abstract

This paper aims at analyzing the quasi-invariant and attractive sets for a class of inertial neural networks with time-varying and infinite distributed delays. By utilizing the properties of nonnegative matrix, a new bidirectional-like delay integral inequality is developed. Some sufficient conditions are obtained for the existence of the quasi-invariant and attractive sets of the discussed system according to the bidirectional-like integral inequality. Besides, the framework of the quasi-invariant and attractive sets for the concerned system is provided. Finally, one example is analyzed to clarify the validity of our results.

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Acknowledgements

The authors are grateful for the support of the National Natural Science Foundation of China (U1731124).

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Authors and Affiliations

  1. College of Science, China Three Gorges University, Yichang, 443002, Hubei, China

    Qian Tang & Jigui Jian

  2. Three Gorges Mathematical Research Center, China Three Gorges University, Hubei, Yichang, 443002, China

    Qian Tang & Jigui Jian

Authors
  1. Qian Tang
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  2. Jigui Jian
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Correspondence to Jigui Jian.

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Communicated by Leonardo Tomazeli Duarte.

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Tang, Q., Jian, J. Quasi-invariant and attractive sets of inertial neural networks with time-varying and infinite distributed delays. Comp. Appl. Math. 39, 158 (2020). https://doi.org/10.1007/s40314-020-01186-8

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  • DOI: https://doi.org/10.1007/s40314-020-01186-8

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