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Synchronization results for uncertain complex-valued neural networks under delay-dependent flexible impulsive control

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  • K., Pooja Lakshmi
  • Senthilkumar, T.

Abstract

This paper is concerned with error estimation between two non-identical uncertain complex-valued neural networks (CVNNs) based on delay-dependent flexible impulsive control (DDFIC). By implementing the ideas of average impulsive delay (AID) and average impulsive interval (AII), we established a new delay dependent flexible impulsive delay differential inequality to reduce the error exponentially for the proposed CVNNs. Moreover, we obtained some new criteria to reduce error exponentially and robust exponentially with regard to linear matrix inequalities (LMIs) by using the Lyapunov function for the proposed CVNNs, and we also designed the DDFIC gains by solving LMIs. The DDFIC effectively reduced the errors for the proposed networks and is represented using numerical examples along with its simulations.

Suggested Citation

  • 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).
    • Handle: RePEc:eee:chsofr:v:178:y:2024:i:c:s0960077923012407
    DOI: 10.1016/j.chaos.2023.114338
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    References listed on IDEAS

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    1. Yang, Xinsong & Huang, Chuangxia & Zhu, Quanxin, 2011. "Synchronization of switched neural networks with mixed delays via impulsive control," Chaos, Solitons & Fractals, Elsevier, vol. 44(10), pages 817-826.
    2. Zhang, Lan & Yang, Xinsong & Xu, Chen & Feng, Jianwen, 2017. "Exponential synchronization of complex-valued complex networks with time-varying delays and stochastic perturbations via time-delayed impulsive control," Applied Mathematics and Computation, Elsevier, vol. 306(C), pages 22-30.
    3. 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.
    4. Pharunyou Chanthorn & Grienggrai Rajchakit & Jenjira Thipcha & Chanikan Emharuethai & Ramalingam Sriraman & Chee Peng Lim & Raja Ramachandran, 2020. "Robust Stability of Complex-Valued Stochastic Neural Networks with Time-Varying Delays and Parameter Uncertainties," Mathematics, MDPI, vol. 8(5), pages 1-19, May.
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