Abstract This paper mainly studies the fixed-time synchronization of Markovian jump fuzzy cellular neural networks with stochastic perturbations, and time-varying delays in the leakage term. By designing delay-dependent controllers with or without fuzzy terms, constructing a suitable stochastic Lyapunov functional and using matrix analysis techniques, this paper derives some novel and useful sufficient conditions to guarantee the fixed-time synchronization of the addressed drive-response systems, and the conditions are delay-dependent, which has less conservative results. The finite time is also independent of the initial states. Finally, numerical examples are given to illustrate the effectiveness of the proposed main results.

中文翻译：

---

具有随机扰动和时变延迟的马尔可夫跳跃模糊细胞神经网络的固定时间同步

摘要 本文主要研究具有随机扰动和泄漏项时变延迟的马尔可夫跳跃模糊细胞神经网络的固定时间同步问题。通过设计带或不带模糊项的延迟相关控制器，构建合适的随机 Lyapunov 泛函并使用矩阵分析技术，本文推导出一些新颖且有用的充分条件，以保证所寻址的驱动响应系统的固定时间同步，以及条件依赖于延迟，其结果不太保守。有限时间也与初始状态无关。最后，给出数值例子来说明所提出的主要结果的有效性。