Abstract In this paper, a class of fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays is considered. We construct the model of fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays for the first time. By dividing the fuzzy inertial complex-valued neural networks into real and imaginary parts, the model is converted into two fuzzy inertial real-valued neural networks. Then, we design a novel adaptive controller, and under the action of this controller, synchronization criteria for the fuzzy inertial complex-valued neural networks with state-dependent coefficients and mixed delays are obtained by Lyapunov's stability theory and the differential equation theory with discontinuous right side. Finally, a numerical example is given to show the correctness of results.

中文翻译：

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具有状态相关系数和混合延迟的模糊惯性复值神经网络的自适应同步

摘要 本文考虑了一类具有状态相关系数和混合延迟的模糊惯性复值神经网络。我们首次构建了具有状态相关系数和混合延迟的模糊惯性复值神经网络模型。通过将模糊惯性复值神经网络分为实部和虚部，将模型转化为两个模糊惯性实值神经网络。然后，我们设计了一种新的自适应控制器，并在该控制器的作用下，利用李雅普诺夫稳定性理论和具有不连续权的微分方程理论，得到了具有状态相关系数和混合时滞的模糊惯性复值神经网络的同步准则。边。最后，