| 引用本文: | 李海涛,王玉振.切换奇异布尔网络的稳定性分析(英文)[J].控制理论与应用,2014,31(7):908~914.[点击复制] |
| LI Hai-tao,WANG Yu-zhen.Stability analysis for switched singular Boolean networks[J].Control Theory and Technology,2014,31(7):908~914.[点击复制] |
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| 切换奇异布尔网络的稳定性分析(英文) |
| Stability analysis for switched singular Boolean networks |
| 摘要点击 2589 全文点击 1888 投稿时间：2013-12-18 修订日期：2014-05-08 |
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| DOI编号 10.7641/CTA.2014.31341 |
| 2014,31(7):908-914 |
| 中文关键词 系统生物学 切换奇异布尔网络 稳定 矩阵半张量积 |
| 英文关键词 systems biology switched singular Boolean network stability semi-tensor product of matrices |
| 基金项目 |
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| 中文摘要 |
| 基因调控网络的稳定性分析是系统生物学的研究热点问题之一. 本文利用矩阵半张量积方法研究了切换 奇异布尔网络的稳定性问题. 首先给出了切换奇异布尔网络的代数表示, 基于该代数表示, 建立了系统解存在唯一 的充要条件. 然后通过将切换奇异布尔网络转化为等价的切换布尔网络, 分别得到了系统在任意切换下稳定以及切 换可稳的充要条件. 最后给出例子验证所得结果的有效性. |
| 英文摘要 |
| The stability analysis of gene regulatory networks is a hot topic in systems biology. We investigate the stability of switched singular Boolean networks (SSBNs) by using the semi-tensor product of matrices. First, the dynamics of SSBNs is converted to an algebraic form, based on which a necessary and sufficient condition is established for the uniqueness of solution of SSBNs. Second, several necessary and sufficient conditions are presented for the stability of SSBNs under arbitrary switching signal and the switching stabilizability of SSBNs, respectively, by converting an SSBN into an equivalent switched Boolean network. Two illustrative examples are presented to show that the main results obtained in this paper are effective in analyzing the stability of SSBNs. |