Feedback Stabilization of Boolean Control Networks With Missing Data

Feedback Stabilization of Boolean Control Networks With Missing Data
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具有缺失数据的布尔控制网络的反馈稳定性

DOI:
10.1109/tnnls.2022.3146262
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发表时间:
2022-02
影响因子:
10.4
通讯作者:
Jianquan Lu
Jianquan Lu
中科院分区:
计算机科学1区
文献类型:
--
作者:
Dingyuan Zhong;Yuanyuan Li;Jianquan Lu

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在现实网络中,由于传输失败或节点故障,数据丢失往往是随机的,也是不可避免的。当涉及到布尔控制网络(BCN)时,模型实际上变成了具有无界时滞的时滞系统。很难找到一种合适的方法来模拟它并将其转化为熟悉的形式,因此迄今为止还没有可用的结果。本文研究了Bernoulli分布缺失数据下BCN系统的镇定问题。首先,一个增强的概率BCN(PBCN)被构造来估计模型形式的数据丢失项的外观。在此模型基础上,通过构造可达矩阵和一步状态转移概率矩阵,给出了系统可达的充要条件。此外,提出了算法来完成状态反馈可镇定性分析。此外,一个建设性的方法来设计所有可行的状态反馈控制器。最后,通过算例验证了所提结果的有效性.
Data loss is often random and unavoidable in realistic networks due to transmission failure or node faults. When it comes to Boolean control networks (BCNs), the model actually becomes a delayed system with unbounded time delays. It is difficult to find a suitable way to model it and transform it into a familiar form, so there have been no available results so far. In this article, the stabilization of BCNs is studied with Bernoulli-distributed missing data. First, an augmented probabilistic BCN (PBCN) is constructed to estimate the appearance of data loss items in the model form. Based on this model, some necessary and sufficient conditions are proposed based on the construction of reachable matrices and one-step state transition probability matrices. Moreover, algorithms are proposed to complete the state feedback stabilizability analysis. In addition, a constructive method is developed to design all feasible state feedback controllers. Finally, illustrative examples are given to show the effectiveness of the proposed results.
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