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Impulse-dependent settling-time for finite time stabilization of uncertain impulsive static neural networks with leakage delay and distributed delays

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  • Miaadi, Foued
  • Li, Xiaodi

Abstract

This paper deals with the finite-time stabilization of uncertain static neural networks (USNNs) where impulsive effects, leakage delay and infinite distributed delay are taken into account. Firstly, two types of impulses containing stabilizing impulses (SI) and destabilizing impulses(DI) are considered. Secondly, the designed settling-time relies not just on initial conditions but also on impulse time sequences. Besides, the impulse inputs can be constructed such that a finite time stable system admits a desired upper bound on the settling-time. Finally, two numerical examples with graphical illustrations are provided to demonstrate the effectiveness of our theoretical main results.

Suggested Citation

  • Miaadi, Foued & Li, Xiaodi, 2021. "Impulse-dependent settling-time for finite time stabilization of uncertain impulsive static neural networks with leakage delay and distributed delays," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 259-276.
    • Handle: RePEc:eee:matcom:v:182:y:2021:i:c:p:259-276
    DOI: 10.1016/j.matcom.2020.11.003
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    1. Chuangxia Huang & Jie Cao & Fenghua Wen & Xiaoguang Yang, 2016. "Stability Analysis of SIR Model with Distributed Delay on Complex Networks," PLOS ONE, Public Library of Science, vol. 11(8), pages 1-22, August.
    2. Vimal Kumar, S. & Raja, R. & Marshal Anthoni, S. & Cao, Jinde & Tu, Zhengwen, 2018. "Robust finite-time non-fragile sampled-data control for T-S fuzzy flexible spacecraft model with stochastic actuator faults," Applied Mathematics and Computation, Elsevier, vol. 321(C), pages 483-497.
    3. Jiang, Ling & Cao, Jinde & Xiong, Lianglin, 2019. "Generalized multiobjective robustness and relations to set-valued optimization," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 599-608.
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    1. 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.

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