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Stability analysis for complex-valued neural networks with fractional order

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  • Panda, Sumati Kumari
  • Nagy, A.M.
  • Vijayakumar, Velusamy
  • Hazarika, Bipan

Abstract

In the context of complex-valued rectangular b-metric spaces, the present study investigates the stability of complex-valued neural networks (CVNNs) with fractional order. Using the generalized contraction principle, we address the suitable condition for uniform stability of fractionally ordered CVNNs and establish the existence and uniqueness of the equilibrium point. Few numerical results are presented to show the feasibility and correctness of the results presented.

Suggested Citation

  • Panda, Sumati Kumari & Nagy, A.M. & Vijayakumar, Velusamy & Hazarika, Bipan, 2023. "Stability analysis for complex-valued neural networks with fractional order," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    • Handle: RePEc:eee:chsofr:v:175:y:2023:i:p2:s0960077923009463
    DOI: 10.1016/j.chaos.2023.114045
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    References listed on IDEAS

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    1. Zuñiga Aguilar, C.J. & Gómez-Aguilar, J.F. & Alvarado-Martínez, V.M. & Romero-Ugalde, H.M., 2020. "Fractional order neural networks for system identification," Chaos, Solitons & Fractals, Elsevier, vol. 130(C).
    2. Ravichandran, C. & Logeswari, K. & Panda, Sumati Kumari & Nisar, Kottakkaran Sooppy, 2020. "On new approach of fractional derivative by Mittag-Leffler kernel to neutral integro-differential systems with impulsive conditions," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).
    3. Sumati Kumari Panda & Abdon Atangana & Thabet Abdeljawad, 2022. "Existence Results And Numerical Study On Novel Coronavirus 2019-Ncov/ Sars-Cov-2 Model Using Differential Operators Based On The Generalized Mittag-Leffler Kernel And Fixed Points," FRACTALS (fractals), World Scientific Publishing Co. Pte. Ltd., vol. 30(08), pages 1-23, December.
    4. Zhang, Lei & Song, Qiankun & Zhao, Zhenjiang, 2017. "Stability analysis of fractional-order complex-valued neural networks with both leakage and discrete delays," Applied Mathematics and Computation, Elsevier, vol. 298(C), pages 296-309.
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