This paper further investigates the stability analysis of delayed neural networks (DNNs) with data packet dropouts. Firstly, the delay-product-type function method is introduced to construct a suitable Lyapunov–Krasovskii functional (LKF) with delay-dependent matrices, which fully considers the integral terms, non-integral terms and time-delay correlation terms. Then, by applying free-matrix-base inequality (FMBI) and other valid inequalities mathematical analysis techniques, new stability criteria are established. Meanwhile, by solving a set of linear matrix inequalities (LMIs), the corresponding controllers are designed to ensure the system state stabilization. Finally, two examples are given to demonstrate the validity and feasibility of the proposed method.

本文进一步研究了具有数据包丢失的延迟神经网络（DNN）的稳定性分析。首先，引入时滞乘积型函数法构造了一个具有时滞相关矩阵的Lyapunov-Krasovskii泛函（LKF），其中充分考虑了积分项，非积分项和时滞相关项。然后，通过应用基于自由矩阵的不等式（FMBI）和其他有效的不等式数学分析技术，建立了新的稳定性标准。同时，通过解决一组线性矩阵不等式（LMI），设计了相应的控制器以确保系统状态稳定。最后，通过两个例子说明了该方法的有效性和可行性。