| 引用本文: | 李志强,宋金利.布尔控制网络的能控性与能观性(英文)[J].控制理论与应用,2013,30(6):760~764.[点击复制] |
| LI Zhi-qiang,SONG Jin-li.Controllability and observability of Boolean control networks[J].Control Theory and Technology,2013,30(6):760~764.[点击复制] |
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| 布尔控制网络的能控性与能观性(英文) |
| Controllability and observability of Boolean control networks |
| 摘要点击 3416 全文点击 1726 投稿时间：2012-06-17 修订日期：2012-09-25 |
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| DOI编号 10.7641/CTA.2013.12137 |
| 2013,30(6):760-764 |
| 中文关键词 布尔控制网络 能控性 能观性 矩阵半张量积 |
| 英文关键词 Boolean control network controllability observability semi-tensor product |
| 基金项目 This work is supported by the National Natural Science Foundation of China (Nos. 61203050, 61143002, 61104065), and the Natural Science Foundation of Educational Commission of Henan Province (Nos. 2011B110002, 12B110002). |
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| 中文摘要 |
| 利用矩阵的半张量积, 布尔控制网络被转化为离散时间系统. 本文从离散时间系统的结构矩阵出发, 讨论了逻辑控制系统的能控能观性条件, 得到了一个新的能控性条件. 新的条件简化了原有能控性矩阵的计算复杂性, 矩阵的最高阶数由原来的2^{m+n}降到了2^n. 另外, 还得到了检验布尔控制网络能观性的条件. 与原有条件相比, 新的条件更容易计算检验. 最后, 给出一个实例, 检验给出的能控能观性判断条件的正确性. |
| 英文摘要 |
| Using the semi-tensor product, we convert the Boolean control network to its algebraic form. From the structure matrix of Boolean control network, the controllability and observability of the Boolean control network are discussed. A novel necessary and sufficient condition for controllability, which improves the recent results, is given. The new controllability condition eliminates the redundant computation of controllability matrix. The highest power of matrix is reduced from 2^{m+n} to 2^n. Also, a sufficient condition for observability is obtained, which can be computed easily. A numerical example is presented to show the applicability of our controllability and observability condition. |
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