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Dissipativity and synchronization of fractional-order output-coupled neural networks with multiple adaptive coupling weights

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  • Zhang, Xiulan
  • Liu, YiYu
  • Qiu, Hongling
  • Liu, Heng

Abstract

Different from the majority of existing results that focus on the passivity analysis of nonlinear systems, this paper attempts to analyze the more general QSR-dissipativity of fractional-order neural networks that own output coupling and multiple coupled weights, where outer coupling weights can be adjusted online by developing an adaptation law. Using the linear matrix inequality technique, several sufficient criteria that not only guarantee the QSR-dissipativity of the network system but also achieve global synchronization even under zero input are established. Of particular significance is the proposal of a fractional Lyapunov-like lemma, which plays a crucial role in verifying the asymptotic stability of synchronization errors. Finally, a simulation example is presented to verify the plausibility of the theoretical results.

Suggested Citation

  • Zhang, Xiulan & Liu, YiYu & Qiu, Hongling & Liu, Heng, 2024. "Dissipativity and synchronization of fractional-order output-coupled neural networks with multiple adaptive coupling weights," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 215(C), pages 306-322.
    • Handle: RePEc:eee:matcom:v:215:y:2024:i:c:p:306-322
    DOI: 10.1016/j.matcom.2023.08.016
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    References listed on IDEAS

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    1. Pratap, A. & Raja, R. & Cao, J. & Rihan, Fathalla A. & Seadawy, Aly R., 2020. "Quasi-pinning synchronization and stabilization of fractional order BAM neural networks with delays and discontinuous neuron activations," Chaos, Solitons & Fractals, Elsevier, vol. 131(C).
    2. Grienggrai Rajchakit & Anbalagan Pratap & Ramachandran Raja & Jinde Cao & Jehad Alzabut & Chuangxia Huang, 2019. "Hybrid Control Scheme for Projective Lag Synchronization of Riemann–Liouville Sense Fractional Order Memristive BAM NeuralNetworks with Mixed Delays," Mathematics, MDPI, vol. 7(8), pages 1-23, August.
    3. Hu, Xiaohui & Xia, Jianwei & Wei, Yunliang & Meng, Bo & Shen, Hao, 2019. "Passivity-based state synchronization for semi-Markov jump coupled chaotic neural networks with randomly occurring time delays," Applied Mathematics and Computation, Elsevier, vol. 361(C), pages 32-41.
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