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CLC number: O233

On-line Access: 2021-02-01

Received: 2019-08-30

Revision Accepted: 2019-10-27

Crosschecked: 2020-04-28

Cited: 0

Clicked: 2169

Citations:  Bibtex RefMan EndNote GB/T7714

 ORCID:

Ya-wen Shen

https://orcid.org/0000-0001-8830-4209

Yu-qian Guo

https://orcid.org/0000-0001-5259-4347

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Frontiers of Information Technology & Electronic Engineering  2021 Vol.22 No.2 P.222-231

http://doi.org/10.1631/FITEE.1900454


Stability of Boolean networks with state-dependent random impulses


Author(s):  Ya-wen Shen, Yu-qian Guo, Wei-hua Gui

Affiliation(s):  School of Automation, Central South University, Changsha 410083, China

Corresponding email(s):   shenyawen@csu.edu.cn, gyuqian@csu.edu.cn, gwh@csu.edu.cn

Key Words:  Boolean network with impulses, Forward completeness, Finite-time stability with probability one, Asymptotical stability in distribution


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.

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doi="10.1631/FITEE.1900454"
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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.

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
中南大学自动化学院,中国长沙市,410083

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。

关键词:脉冲布尔网络;前向完备性;以概率1有限时间稳定性;依分布渐近稳定性

Darkslateblue:Affiliate; Royal Blue:Author; Turquoise:Article

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