Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching
Set Stability and Stabilization of Switched Boolean Networks With State-Based Switching
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DOI：
10.1109/access.2018.2851391
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发表时间：
2018
期刊：
影响因子：
3.9
通讯作者：
Yuanyuan Li;Bowen Li;Yang Liu;Jianquan Lu;Zhen Wang;F. Alsaadi
中科院分区：
文献类型：
--
作者：
Yuanyuan Li;Bowen Li;Yang Liu;Jianquan Lu;Zhen Wang;F. Alsaadi
本文利用矩阵的半张量积研究了具有状态切换的切换布尔网络的集稳定性和镇定性。首先，用STP方法得到了SBN的代数形式。然后，对给定的基于状态的切换矩阵，给出了集合稳定的充分必要条件。此外，还设计了基于状态的切换矩阵，使系统能够稳定到给定集合。给出了固定节点的选择策略，并设计了固定控制器，使系统能够通过基于状态的切换矩阵实现集合稳定。最后，通过算例验证了所得结果的有效性。
This paper is devoted to studying the set stability and stabilization of switched Boolean networks (SBNs) with state-based switching using the semi-tensor product (STP) of matrices. First, the algebraic form of an SBN is obtained by STP. Then, a necessary and sufficient condition for set stability is presented for a given set and state-based switching matrix. In addition, state-based switching matrices are designed such that systems can be stabilized to a given set. The selection strategy for pinning nodes is also given, and pinning controllers are designed such that systems can achieve set stabilization via a state-based switching matrix. Finally, examples are provided to illustrate the effectiveness of the obtained results.