时效网络的结构可控性是研究时效网络的一大挑战, 特别是当控制系统的 网络拓扑结构是高阶时. 针对这一问题, 文章在对一阶时效网络结构可控性分析的基础上对高阶时效网络的构造以及结构可控性的判定方法进行了研究. 为此, 特别引入了时效 网络的非马尔可夫性的特性, 其保留了节点之间的因果关系, 为研究高阶时效网络的结构 可控性提供了一个方向. 接下来, 进一步找出了高阶时效网络与低阶时效网络之间关于可 控节点的联系, 这一联系主要是由高阶时效网络的构造过程决定的.

The structural controllability of temporal networks is a significant challenge, especially when the network topology of the system to be controlled is high-order. On the basis of the first-order temporal network, the construction of the high-order temporal network and the determination method of structural controllability are studied. For this reason, the non-Markov property of the temporal network is introduced in particular, which preserves the causal relationship between nodes and provides a direction for studying the structural controllability of the high-order temporal network. Next, the relationship between the high-order temporal network and the low-order temporal network about controllable nodes is further found out. The connection is mainly determined by the construction process of the high-order temporal network.