Finite-time (FT) synchronization for periodic T–S fuzzy master-slave neural networks (NNs) with distributed delays is addressed in this work. A fuzzy controller is designed for the salve NNs to synchronize the master NNs in FT and a synchronization error system (SES) is derived. Sufficient conditions are established to guarantee that the SES is FT bounded by using the mode and fuzzy basis dependent Lyapunov function. A new algorithm is proposed to obtain the suboptimal boundary of the SES to analyze how the periodic characteristics affect the system boundary. Finally, a numerical example is provided to demonstrate the validity of the fuzzy controller and the iterative algorithm for the boundary.

这项工作解决了具有分布时滞的周期性TS模糊主-从神经网络（NN）的有限时间（FT）同步。为从属神经网络设计了模糊控制器，以使FT中的主神经网络同步，并推导了同步误差系统（SES）。通过使用依赖于模式和模糊基础的李雅普诺夫函数，建立了充分的条件以确保SES受FT限制。提出了一种新的算法来获得SES的次优边界，以分析周期性特征如何影响系统边界。最后，通过数值例子验证了模糊控制器和边界迭代算法的有效性。