Criteria for Observability and Reconstructibility of Boolean Control Networks via Set Controllability
Criteria for Observability and Reconstructibility of Boolean Control Networks via Set Controllability
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DOI：
10.1109/tcsii.2020.3021190
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发表时间：
2021-04
期刊：
影响因子：
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通讯作者：
Xiao Zhang;Min Meng;Yuanhua Wang;D. Cheng
中科院分区：
文献类型：
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作者：
Xiao Zhang;Min Meng;Yuanhua Wang;D. Cheng
本文主要讨论布尔控制网络（BCN）通过矩阵的半张量积的可观测性和可重构性。为了解决这个问题，对于一个给定的BCN，一个增广的BCN被构造。通过划分增广BCN的状态空间，将给定BCN的可观测性和可重构性等价地转化为增广BCN的集能控性。利用集合能控性方法，分别得到了BCN的能观性和重构性判据。与已有的结果相比，本文提出的判据易于检验。通过数学推导和实际算例验证了结果的有效性。
This brief focuses on observability and recontructibility of Boolean control networks (BCNs) via the semi-tensor product of matrices. To solve the problems, for a given BCN, an augmented BCN is constructed. By partitioning the state-space of the augmented BCN, observability and recontructibility of the given BCN are equivalently converted to set controllability of the augmented BCN. Using the set controllability approach, criteria for observability and recontructibility of BCNs are obtained respectively. Compared with the existing results, the criteria proposed in this brief are easy to check. The effectiveness of the results is verified both theoretically through mathematical derivations and practically by an illustrative example.