This paper studies the delay-dependent conditions for finite-time extended dissipativity based non-fragile feedback control for neural networks with mixed interval time-varying delays. By applying Jensen’s inequality, an extended Jensen’s double integral inequality, and a free matrix form inequality to the Lyapunov–Krasovskii functional (LKF), delay-dependent conditions are derived and solved by the Matlab control toolbox in terms of linear matrix inequalities (LMIs). By stability criteria, this paper is less conservative than the other works. In addition, we demonstrate the advantage of our obtained methods by five numerical examples. One practical example shows a real-world approach: the quadruple-tank process system (QTPS).

本文研究了具有混合间隔时变延迟的神经网络的基于有限时间扩展耗散性的非脆弱反馈控制的延迟相关条件。通过将 Jensen 不等式、扩展的 Jensen 二重积分不等式和自由矩阵形式不等式应用于 Lyapunov-Krasovskii 泛函 (LKF)，Matlab 控制工具箱根据线性矩阵不等式 (LMIs) 推导出和求解延迟相关条件. 根据稳定性标准，本文不如其他作品保守。此外，我们通过五个数值例子证明了我们获得的方法的优势。一个实际例子展示了一种现实世界的方法：四缸工艺系统 (QTPS)。