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<p>In this paper, we further study the issue of finite-/fixed-time synchronization (FFTS) for delayed discontinuous complex-valued neural networks (DCVNNs) with diffusion effects. Firstly, by decomposing the DCVNNs into its real and imaginary parts, an equivalent real-valued subsystem is formed. Then, some novel and flexible criteria are established to achieve FFTS for the considered delayed DCVNNs by utilizing the differential inclusion theory, inequality technique, and constructing a general Lyapunov function approach, which not only improve, but also generalize previously known results. Finally, two numerical simulations are conducted to verify the effectiveness and applicability of the developed theoretical results.</p>

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New analysis on synchronization in finite-/fixed-time of delayed discontinuous complex-valued neural networks with diffusion effects

  • 期刊论文

  • 发表日期：

    2026年4月16日

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  • Yinjie Qian,
  • Yuanhua Qiao

摘要

In this paper, we further study the issue of finite-/fixed-time synchronization (FFTS) for delayed discontinuous complex-valued neural networks (DCVNNs) with diffusion effects. Firstly, by decomposing the DCVNNs into its real and imaginary parts, an equivalent real-valued subsystem is formed. Then, some novel and flexible criteria are established to achieve FFTS for the considered delayed DCVNNs by utilizing the differential inclusion theory, inequality technique, and constructing a general Lyapunov function approach, which not only improve, but also generalize previously known results. Finally, two numerical simulations are conducted to verify the effectiveness and applicability of the developed theoretical results.