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Impulsive effect on fixed-time control for distributed delay uncertain static neural networks with leakage delay

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  • Miaadi, Foued
  • Li, Xiaodi

Abstract

In this paper, the problem of fixed-time stabilization (FXTSB) for an uncertain impulsive distributed delay static neural networks (UIDSNNs) with leakage delay is investigated. Firstly, a new memory controller distinct from the existing ones is build. Besides, by using new Lyapunov function which include a new vectorial function, some new criteria are established to deal with the impulsive effect on FXTSB of UIDSNNs with leakage. Under the proposed memory fixed-time controller, the average impulsive interval(AII)-dependent settling-time is established and the controller parameters can be expressed in the form of linear matrix inequalities (LMIs). Finally, some numerical examples with graphical illustrations are provided to demonstrate the effectiveness of our theoretical main results.

Suggested Citation

  • Miaadi, Foued & Li, Xiaodi, 2021. "Impulsive effect on fixed-time control for distributed delay uncertain static neural networks with leakage delay," Chaos, Solitons & Fractals, Elsevier, vol. 142(C).
    • Handle: RePEc:eee:chsofr:v:142:y:2021:i:c:s0960077920307839
    DOI: 10.1016/j.chaos.2020.110389
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    1. Yan, Hongyun & Qiao, Yuanhua & Duan, Lijuan & Miao, Jun, 2022. "New results of quasi-projective synchronization for fractional-order complex-valued neural networks with leakage and discrete delays," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    2. Ghrab, Sonia & Benamor, Anouar & Messaoud, Hassani, 2021. "A new robust discrete-time sliding mode control design for systems with time-varying delays on state and input and unknown unmatched parameter uncertainties," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 921-945.
    3. Alsaedi, Ahmed & Cao, Jinde & Ahmad, Bashir & Alshehri, Ahmed & Tan, Xuegang, 2022. "Synchronization of master-slave memristive neural networks via fuzzy output-based adaptive strategy," Chaos, Solitons & Fractals, Elsevier, vol. 158(C).

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