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<p>In this paper, we investigate the lag anti-synchronization (LAS) and lag <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(H_\infty \)</EquationSource> <EquationSource Format="MATHML"><math> <msub> <mi>H</mi> <mi>∞</mi> </msub> </math></EquationSource> </InlineEquation> anti-synchronization (LHAS) of multiweighted coupled fractional-order uncertain neural networks (MCFUNNs) with or without time-varying delay. First, several sufficient conditions for LAS of MCFUNNs with and without time-varying delay are established using state feedback control and inequality techniques, which not only generalize existing synchronization results for MCFUNNs but also lay a theoretical foundation for more precise practical applications of synchronization. Furthermore, by designing suitable controllers and employing the Razumikhin approach, we derive stability criteria that underpin the LHAS conditions for FUNNs with or without time-varying delay. Finally, numerical simulations are presented to verify the feasibility and effectiveness of the theoretical results obtained.</p>

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Lag anti-synchronization and Lag \(H_{\infty }\) anti-synchronization of multiweighted coupled fractional-order uncertain neural networks with or without time-varying delay

  • 期刊论文

  • 发表日期：

    2026年4月13日

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  • Hongshu Chen,
  • Xianliang Lv,
  • Qiu Fang

摘要

In this paper, we investigate the lag anti-synchronization (LAS) and lag \(H_\infty \) H ∞ anti-synchronization (LHAS) of multiweighted coupled fractional-order uncertain neural networks (MCFUNNs) with or without time-varying delay. First, several sufficient conditions for LAS of MCFUNNs with and without time-varying delay are established using state feedback control and inequality techniques, which not only generalize existing synchronization results for MCFUNNs but also lay a theoretical foundation for more precise practical applications of synchronization. Furthermore, by designing suitable controllers and employing the Razumikhin approach, we derive stability criteria that underpin the LHAS conditions for FUNNs with or without time-varying delay. Finally, numerical simulations are presented to verify the feasibility and effectiveness of the theoretical results obtained.