文献类型：期刊文献

英文题名：Minimal pinning control for set stability of Boolean networks

作者：Wang, Yong[1];Zhong, Jie[1];Pan, Qinyao[1];Li, Ning[2]

第一作者：Wang, Yong

通讯作者：Zhong, J[1]

机构：[1]Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China;[2]Henan Univ Econ & Law, Coll Math & Informat Sci, Zhengzhou 450046, Peoples R China

第一机构：Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China

通讯机构：[1]corresponding author), Zhejiang Normal Univ, Sch Math Sci, Jinhua 321004, Peoples R China.

年份：2024

卷号：465

外文期刊名：APPLIED MATHEMATICS AND COMPUTATION

收录：;EI(收录号：20234615052028);Scopus(收录号：2-s2.0-85176261208);WOS:【SCI-EXPANDED(收录号:WOS:001112299700001)】；

基金：This work was also supported in part by the National Natural Science Foundation of China under Grant 62273309, the Natural Science Foundation of Zhejiang Province of China under Grant LY22F030005, and the China Postdoctoral Science Foundation under Grants 2021M702913 and 2023T160585.

语种：英文

外文关键词：Boolean networks; Pinning control; Set stability; Semi-tensor product

摘要：In this paper, set stability of Boolean networks (BNs) is studied based on semi-tensor product of matrices. First, an index-vector is introduced to verify whether a BN can be set stable from an initial set to a destination set. Then, an algorithm is proposed to obtain the minimal set of pinning nodes to achieve set stability, if a BN is not set stable. Moreover, in order to reduce the computational complexity, a hybrid pinning control technique is proposed, where the designed controllers are not entirely dependent on all the nodes of the networks. Further, the issue of synchronization is discussed by using the proposed hybrid pinning control methods. Finally, simulations are presented to illustrate the effectiveness of the obtained results in this paper.