This article examines mixed -infinity and passivity synchronization of Markovian jumping neutral-type complex dynamical network (MJNTCDN) models with randomly occurring coupling delays and actuator faults. The randomly occurring coupling delays are considered to design the complex dynamical networks in practice. These delays complied with certain Bernoulli distributed white noise sequences. The relevant data including limits of actuator faults, bounds of the nonlinear terms, and external disturbances are available for designing the controller structure. Novel Lyapunov–Krasovskii functional (LKF) is constructed to verify the stability of the error model and performance level. Jensen’s inequality and a new integral inequality are applied to derive the outcomes. Sufficient conditions for the synchronization error system (SES) are given in terms of linear matrix inequalities (LMIs), which can be analyzed easily by utilizing general numerical programming. Numerical illustrations are given to exhibit the usefulness of the obtained results.

中文翻译：

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具有随机发生的分布耦合时变时滞和执行器故障的马尔可夫跳跃中立型复杂动力网络的混合无穷和无源同步

本文探讨了混合-随机发生耦合时滞和执行器故障的马尔可夫跳跃中立型复杂动力网络（MJNTCDN）模型的无穷和无源同步。在实践中，考虑随机发生的耦合时延来设计复杂的动力学网络。这些延迟符合某些伯努利分布的白噪声序列。包括执行器故障极限，非线性项边界和外部干扰在内的相关数据可用于设计控制器结构。新颖的Lyapunov–Krasovskii功能（LKF）用于验证错误模型和性能水平的稳定性。詹森不等式和新的积分不等式可用于得出结果。线性矩阵不等式（LMI）给出了同步误差系统（SES）的充分条件，可以通过使用通用数值编程轻松地对其进行分析。给出了数字图示以展示所获得的结果的有用性。