This article investigates the reliable projective lag synchronization problem for semi-Markovian jumping coupled networks under the master–slave framework. More precisely, a novel mode-dependent memorized synchronization scheme is proposed for the master and slave dynamical networks. By utilizing the Lyapunov-Krasovskii method, sufficient delay-dependent conditions are derived to achieve the reliable synchronization in the mean-square sense. Based on the derived results, the mode-dependent synchronization controller is further designed by convex optimization. In the end, two numerical examples are given to illustrate the effectiveness of the obtained theoretical results.

本文研究了在主从框架下半马氏跳跃耦合网络的可靠投影滞后同步问题。更准确地说，针对主从动态网络，提出了一种新颖的模式相关的存储同步方案。通过使用Lyapunov-Krasovskii方法，可以得出足够的时延相关条件，以实现均方意义上的可靠同步。根据得出的结果，通过凸优化进一步设计与模式相关的同步控制器。最后，给出了两个数值例子来说明所获得理论结果的有效性。