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Robust exponential synchronization results for uncertain infinite time varying distributed delayed neural networks with flexible delayed impulsive control

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  • Pooja Lakshmi, K.
  • Senthilkumar, T.

Abstract

This paper discusses the synchronization results like robust exponential synchronization (RES) and exponential synchronization (ES) of uncertain infinite time-varying flexible delayed impulsive neural networks with and without distributed delay. First, we introduced a new lemma based on fundamental solution matrix for solving nonlinear neural networks by utilizing average impulsive interval (AII) and average impulsive delay (AID). Further, we examined some novel RES and ES results for proposed neural networks via the method of variation of constants. Finally, numerical examples are given to validate the proposed results, and the effectiveness of flexible delayed impulsive control is demonstrated using graphical representations.

Suggested Citation

  • Pooja Lakshmi, K. & Senthilkumar, T., 2023. "Robust exponential synchronization results for uncertain infinite time varying distributed delayed neural networks with flexible delayed impulsive control," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 209(C), pages 267-281.
    • Handle: RePEc:eee:matcom:v:209:y:2023:i:c:p:267-281
    DOI: 10.1016/j.matcom.2023.02.009
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    References listed on IDEAS

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    1. Cui, Qian & Li, Lulu & Lu, Jianquan & Alofi, Abdulaziz, 2022. "Finite-time synchronization of complex dynamical networks under delayed impulsive effects," Applied Mathematics and Computation, Elsevier, vol. 430(C).
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    1. K., Pooja Lakshmi & Senthilkumar, T., 2024. "Synchronization results for uncertain complex-valued neural networks under delay-dependent flexible impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).

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