具有状态依赖随机脉冲的布尔网络稳定性研究

沈雅雯; 郭宇骞; 桂卫华

doi:10.1631/FITEE.1900454

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具有状态依赖随机脉冲的布尔网络稳定性研究

常规文章 | Updated：2022-05-19

- 具有状态依赖随机脉冲的布尔网络稳定性研究
- Stability of Boolean networks with state-dependent random impulses
- 信息与电子工程前沿（英文） 2021年22卷第2期页码：222-231
- Affiliations：
  
  School of Automation, Central South University, Changsha 410083, China
- Author bio：
  
  [ "Ya-wen SHEN, E-mail: shenyawen@csu.edu.cn" ]
  Yu-qian GUO, E-mail: gyuqian@csu.edu.cn
  [ "Wei-hua GUI, E-mail: gwh@csu.edu.cn" ]
- Funds：
  
  Project supported by the National Natural Science Foundation of China (Nos. 61873284, 61473315, and 61321003)
- DOI：10.1631/FITEE.1900454
  中图分类号： O233
- 收稿：2019-08-30，
  
  修回：2020-;4-28，
  
  网络出版：2020-08-06，
  
  纸质出版：2021-02
- Accepted：
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沈雅雯, 郭宇骞, 桂卫华. 具有状态依赖随机脉冲的布尔网络稳定性研究[J]. 信息与电子工程前沿（英文）, 2021,22(2):222-231.

Ya-wen SHEN, Yu-qian GUO, Wei-hua GUI. Stability of Boolean networks with state-dependent random impulses[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(2): 222-231.
沈雅雯, 郭宇骞, 桂卫华. 具有状态依赖随机脉冲的布尔网络稳定性研究[J]. 信息与电子工程前沿（英文）, 2021,22(2):222-231. DOI： 10.1631/FITEE.1900454.

Ya-wen SHEN, Yu-qian GUO, Wei-hua GUI. Stability of Boolean networks with state-dependent random impulses[J]. Frontiers of Information Technology & Electronic Engineering, 2021, 22(2): 222-231. DOI： 10.1631/FITEE.1900454.

摘要

研究了具有由状态和随机因素触发脉冲的布尔网络的稳定性。采用混合指数模型描述脉冲神经网络。首先，得到前向完备性的几个充要条件。其次，基于概率布尔网络的稳定性准则和前向完备性准则，给出以概率1有限时间稳定性和依分布渐近稳定性的充要条件。讨论了这两种稳定性之间的关系。最后，给出算例和时域仿真结果。

Abstract

We investigate the stability of Boolean networks (BNs) with impulses triggered by both states and random factors. A hybrid index model is used to describe impulsive BNs. First

several necessary and sufficient conditions for forward completeness are obtained. Second

based on the stability criterion of probabilistic BNs and the forward completeness criterion

the necessary and sufficient conditions for the finite-time stability with probability one and the asymptotical stability in distribution are presented. The relationship between these two kinds of stability is discussed. Last

examples and time-domain simulations are provided to illustrate the obtained results.

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references

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