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Fixed-time synchronization of competitive neural networks with proportional delays and impulsive effect

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Abstract

This paper investigates the fixed-time synchronization problems for competitive neural networks with proportional delays and impulsive effect. The concerned network involves two coupling terms, i.e., long-term memory and short-term memory, which leads to the difficulty to the dynamics analysis. Based on Lyapunov functionals, the differential inequalities and for the objective of making the settling time independent of initial condition, a novel criterion guaranteeing the fixed-time synchronization of addressed system is derived. Finally, two examples and their simulations are given to demonstrate the effectiveness of the obtained results.

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Acknowledgements

The authors extend their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through research groups program [grant number R.G.P.1/129/40].

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Authors and Affiliations

  1. Faculty of Sciences of Bizerta, Department of Mathematics, Research Units of Mathematics and Applications UR13ES47, University of Carthage, BP, 7021, Zarzouna, Bizerta, Tunisia

    Chaouki Aouiti & El Abed Assali

  2. Department of Mathematics, College of Science, King Khalid University, Abha, 9004, Saudi Arabia

    Farouk Chérif

  3. MaPSFA-ESST Hammam Sousse, ISSAT, University of Sousse, Sousse, Tunisia

    Farouk Chérif & Anis Zeglaoui

  4. LAMMDA-ESST Hammam Sousse, University of Sousse, Sousse, Tunisia

    Anis Zeglaoui

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  1. Chaouki Aouiti
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  2. El Abed Assali
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  3. Farouk Chérif
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  4. Anis Zeglaoui
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Correspondence to Chaouki Aouiti.

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Aouiti, C., Assali, E., Chérif, F. et al. Fixed-time synchronization of competitive neural networks with proportional delays and impulsive effect. Neural Comput & Applic 32, 13245–13254 (2020). https://doi.org/10.1007/s00521-019-04654-3

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  • DOI: https://doi.org/10.1007/s00521-019-04654-3

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