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Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties

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  • Thoiyab, N. Mohamed
  • Muruganantham, P.
  • Zhu, Quanxin
  • Gunasekaran, Nallappan

Abstract

This paper describes a new global robust stability analysis of bidirectional associative memory (BAM) neural networks. Under parameter uncertainty, we find a new upper bound on the norm of the weight matrix of the synaptic connection of time-delayed BAM neural networks. Our new upper bound provides a different kind of sufficient condition for the equilibrium point pertaining to the robust stability of BAM neural networks. Several classes of bounded activation functions are formulated. In addition, appropriate Lyapunov–Krasovskii functional (LKF) candidates are used in the process of deriving the new sufficient conditions for the BAM neural networks that are independent of the time delay parameters. We conduct some comparative studies with numerical examples to demonstrate the advantages of our findings over the stability results in terms of BAM neural network parameters.

Suggested Citation

  • Thoiyab, N. Mohamed & Muruganantham, P. & Zhu, Quanxin & Gunasekaran, Nallappan, 2021. "Novel results on global stability analysis for multiple time-delayed BAM neural networks under parameter uncertainties," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921007955
    DOI: 10.1016/j.chaos.2021.111441
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    References listed on IDEAS

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    Cited by:

    1. Zheng, Wei & Zhang, Zhiming & Lam, Hak-Keung & Sun, Fuchun & Wen, Shuhuan, 2023. "LMIs-based exponential stabilization for interval delay systems via congruence transformation: Application in chaotic Lorenz system," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    2. Wang, Chen & Zhang, Hai & Ye, Renyu & Zhang, Weiwei & Zhang, Hongmei, 2023. "Finite time passivity analysis for Caputo fractional BAM reaction–diffusion delayed neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 208(C), pages 424-443.
    3. Oliveira, José J., 2022. "Global stability criteria for nonlinear differential systems with infinite delay and applications to BAM neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).

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