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Finite-/fixed-time anti-synchronization of neural networks with leakage delays under discontinuous disturbances

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  • Duan, Lian
  • Liu, Jinzhi
  • Huang, Chuangxia
  • Wang, Zengyun

Abstract

This paper is concerned with the finite-/fixed-time anti-synchronization (FFTAS) problem of neural networks with leakage delays under discontinuous disturbances. By designing new negative exponential controllers, in light of Fillipov’s theory and the Lyapunov functional method, novel FFTAS criteria are established for the considered drive-response network systems, the corresponding settling time is estimated as well. The established theoretical results extend and cover the existed ones. In addition, a numerical example is given to verify the practicability of the obtained results.

Suggested Citation

  • Duan, Lian & Liu, Jinzhi & Huang, Chuangxia & Wang, Zengyun, 2022. "Finite-/fixed-time anti-synchronization of neural networks with leakage delays under discontinuous disturbances," Chaos, Solitons & Fractals, Elsevier, vol. 155(C).
    • Handle: RePEc:eee:chsofr:v:155:y:2022:i:c:s0960077921009930
    DOI: 10.1016/j.chaos.2021.111639
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    References listed on IDEAS

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    1. Manivannan, R. & Samidurai, R. & Cao, Jinde & Alsaedi, Ahmed & Alsaadi, Fuad E., 2018. "Stability analysis of interval time-varying delayed neural networks including neutral time-delay and leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 433-445.
    2. Nengfa Wang & Changjin Xu & Zixin Liu & Eric Campos, 2021. "Further Exploration on Bifurcation for Fractional-Order Bidirectional Associative Memory (BAM) Neural Networks concerning Time Delay∗," Complexity, Hindawi, vol. 2021, pages 1-20, October.
    3. Duan, Lian & Shi, Min & Huang, Chuangxia & Fang, Xianwen, 2021. "Synchronization in finite-/fixed-time of delayed diffusive complex-valued neural networks with discontinuous activations," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    4. Xu, Changjin & Liu, Zixin & Yao, Lingyun & Aouiti, Chaouki, 2021. "Further exploration on bifurcation of fractional-order six-neuron bi-directional associative memory neural networks with multi-delays," Applied Mathematics and Computation, Elsevier, vol. 410(C).
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    Cited by:

    1. Ganesan, Bhuvaneshwari & Annamalai, Manivannan, 2023. "Anti-synchronization analysis of chaotic neural networks using delay product type looped-Lyapunov functional," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).
    2. Karnan, A. & Nagamani, G., 2023. "Event-triggered extended dissipative synchronization for delayed neural networks with random uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    3. Chen, Dazhao & Zhang, Zhengqiu, 2022. "Finite-time synchronization for delayed BAM neural networks by the approach of the same structural functions," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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