• 论文 •

### 具有随机脉冲的布尔控制网络的集合稳定性研究

1. 1. 太原理工大学数学学院,太原 030024; 2. 西南财经大学经济信息工程学院, 成都 611130
• 出版日期:2020-04-25 发布日期:2020-05-30

HU Xin1, HUANG Chi. Set Stabilization of Boolean Control Networks with Stochastic Impulse[J]. Journal of Systems Science and Mathematical Sciences, 2020, 40(4): 587-598.

### Set Stabilization of Boolean Control Networks with Stochastic Impulse

HU Xin1, HUANG Chi2

1. 1. College of Mathematics, Taiyuan University of Technology, Taiyuan 030024; 2. School of Economic Information Engineering, Southwestern University of Finance and Economics, Chengdu 611130
• Online:2020-04-25 Published:2020-05-30

In this paper, we analyze the set stabilization problem of Boolean control networks with stochastic impulse. The introduction of stochastic impulse model makes the study more realistic. First, stochastic impulse are described as a series of possible models with corresponding probabilities. And the definition of set stabilization problem, which is to make all states in the system reach and stabilize to a given set with probability 1, is given. Second, a necessary and sufficient condition is presented to judge whether a given system is set stable. Then, for the set stable system, system controller and states impulse strategies design methods are proposed. Finally, the effectiveness of the obtained results is demonstrated by an example.

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