This paper mainly concentrates on the issue of finite-time output tracking of probabilistic Boolean control networks (PBCNs). Two kinds of problems are considered: (1) the system tracks a fixed reference output signal (ROS); (2) the system tracks a time variant reference output trajectory (TVROT). For the first problem, we design an effective event-triggered controller to realize output tracking in probability one. An algorithm is offered to find the control invariant subset (CIS) of a set, and a triggering set sequence is constructed based on the CIS. Next, a necessary and sufficient condition is proposed to judge whether the system is trackable in probability one. For the second problem, a criterion is given to judge whether the initial state can generate TVROT with probability one and an algorithm is then provided to solve the corresponding control sequence. Furthermore, a profit function is established to solve the maximum tracking probability for the initial state which can not generate TVROT with probability one. Lastly, two examples are offered to explain the theoretical results.

本文主要关注概率布尔控制网络（PBCNs）的有限时间输出跟踪问题。考虑两种问题：（1）系统跟踪一个固定的参考输出信号（ROS）；(2)系统跟踪时变参考输出轨迹(TVROT)。针对第一个问题，我们设计了一个有效的事件触发控制器来实现概率为一的输出跟踪。提出了一种寻找集合的控制不变子集（CIS）的算法，并在此基础上构造了触发集序列。接下来，提出判断系统在概率一上是否可跟踪的充要条件。对于第二个问题，给出了判断初始状态是否能以概率为1产生TVROT的判据，并给出求解相应控制序列的算法。此外，建立了一个利润函数来解决初始状态不能以概率1生成TVROT的最大跟踪概率。最后，给出两个例子来解释理论结果。