School of Mathematics, Southeast University, Nanjing 210096, China.
School of Mathematics, Southeast University, Nanjing 210096, China; Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia.
Neural Netw. 2018 Jan;97:107-115. doi: 10.1016/j.neunet.2017.09.012. Epub 2017 Oct 13.
The paper investigates the variable structure control for stabilization of Boolean networks (BNs). The design of variable structure control consists of two steps: determine a switching condition and determine a control law. We first provide a method to choose states from the reaching mode. Using this method, we can guarantee that the number of nodes which should be controlled is minimized. According to the selected states, we determine the switching condition to guarantee that the time of global stabilization in the BN is the shortest. A control law is then determined to ensure that all selected states can enter into the sliding mode, such that any initial state can arrive in the steady-state mode. Some examples are provided to illustrate the theoretical results.
本文研究了布尔网络（BN）稳定的变结构控制。变结构控制的设计包括两步：确定切换条件和确定控制律。我们首先提供了一种从到达模式中选择状态的方法。使用这种方法，我们可以保证要控制的节点数量最小化。根据所选状态，我们确定切换条件以确保 BN 的全局稳定时间最短。然后确定控制律以确保所有选定状态都能进入滑动模式，从而使任何初始状态都能到达稳定状态模式。提供了一些示例来说明理论结果。
