期刊
IEEE TRANSACTIONS ON CONTROL OF NETWORK SYSTEMS
卷 9, 期 1, 页码 415-426出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TCNS.2021.3106453
关键词
Boolean networks; distributed pinning control; global stabilization; network structure; semitensor product of matrices
资金
- Research Grant Council of Hong Kong through General Research Fund [11200717, 11202819]
- National Natural Science Foundation of China [61903339, 61573102, 61973078]
- Natural Science Foundation of Jiangsu Province of China [BK20170019]
This article proposes a network-structure-based distributed pinning control method for global stabilization of Boolean networks. Compared with existing methods, this design reduces computational complexity and only requires local information of neighbor nodes.
Boolean networks (BNs) are discrete-time systems, where nodes are interconnected (here, we call such connection rule among nodes as a network structure), and the dynamics of each gene node is determined by logical functions. In this article, we propose a new approach on pinning control design for global stabilization of BNs based on BNs' network structure, named as network-structure-based distributed pinning control. Compared with the existing literature, the design of pinning control is not based on the state transition matrix of BNs. Hence, the computational complexity in this article is reduced from O(2(2n)) to O(n(2) + n2(kappa)), where n is the number of nodes and K <= n is the largest number of in-neighbors of nodes. In addition, without using the state transition matrix, global state information is no longer needed; the design of pinning control is just based on neighbors' local information, which is easier to implement. The proposed method is well demonstrated by several biological networks with different sizes. The results are shown to be simple and concise, while the traditional pinning control cannot be applied for BNs with such a large dimension.
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