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Stabilization of inertial Cohen-Grossberg neural networks with generalized delays: A direct analysis approach

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  • Han, Siyu
  • Hu, Cheng
  • Yu, Juan
  • Jiang, Haijun
  • Wen, Shiping

Abstract

The paper is mainly devoted to the stabilization problem of Cohen-Grossberg type inertial neural networks (INNs) with generalized delays by developing a direct analysis approach to replace the previous transformations of reduced order. Above all, a generalized form of time delays is developed to unify discrete constant delays, discrete variable delays and proportional delays. In stabilization analysis, in the absence of variable substitutions, a direct method is proposed by constructing Lyapunov functionals and designing control schemes for the addressed second-order Cohen-Grossberg INNs to achieve asymptotical or adaptive stabilization. The obtained criteria are simpler and more easily verified in applications compared with the related existing results. At last, three specified examples are provided to verify the theoretical results.

Suggested Citation

  • Han, Siyu & Hu, Cheng & Yu, Juan & Jiang, Haijun & Wen, Shiping, 2021. "Stabilization of inertial Cohen-Grossberg neural networks with generalized delays: A direct analysis approach," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920308250
    DOI: 10.1016/j.chaos.2020.110432
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    References listed on IDEAS

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    Cited by:

    1. Kowsalya, P. & Mohanrasu, S.S. & Kashkynbayev, Ardak & Gokul, P. & Rakkiyappan, R., 2024. "Fixed-time synchronization of Inertial Cohen-Grossberg Neural Networks with state dependent delayed impulse control and its application to multi-image encryption," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    2. Fengjiao Zhang & Yinfang Song & Chao Wang, 2023. "α -Synchronization of a Class of Unbounded Delayed Inertial Cohen–Grossberg Neural Networks with Delayed Impulses," Mathematics, MDPI, vol. 11(19), pages 1-18, September.
    3. Xiong, Kailong & Hu, Cheng & Yu, Juan, 2023. "Direct approach-based synchronization of fully quaternion-valued neural networks with inertial term and time-varying delay," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).

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