On reachability and controllability of switched Boolean control networks
On reachability and controllability of switched Boolean control networks
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DOI：
10.1016/j.automatica.2012.08.029
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发表时间：
2012-11
期刊：
影响因子：
--
通讯作者：
Haitao Li;Yuzhen Wang
中科院分区：
文献类型：
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作者：
Haitao Li;Yuzhen Wang
利用半张量积方法研究了切换布尔控制网络(BCN)的能达性和能控性。首先定义了一类开关输入状态转移图，并在此基础上结合开关神经网络的代数表示，提出了一种新的开关输入状态关联矩阵，它包含了开关输入状态转移图的全部信息。其次，利用切换输入状态关联矩阵，得到了切换BCNs能达和能控的几个充要条件。最后，建立了一个算法来寻找切换序列和控制方案，以在最短的时间内实现切换的BCN的可达性。算例研究表明，本文得到的新结果在研究开关BCNs的可达性和可控性方面是非常有效的。
This paper investigates the reachability and controllability of switched Boolean control networks (BCNs) by using the semi-tensor product method. First, a kind of switching-input-state transfer graph is defined, based on which and the algebraic expression of switched BCNs we thus propose a new kind of switching-input-state incidence matrix that contains the complete information of the switching-input-state transfer graph. Second, by the switching-input-state incidence matrix, several necessary and sufficient conditions are obtained for the reachability and controllability of switched BCNs. Finally, an algorithm is established to find a switching sequence and a control scheme to realize the reachability of switched BCNs in the shortest time. The study of an illustrative example shows that the new results obtained in this paper are very effective in investigating the reachability and controllability of switched BCNs.