Abstract
In genetic regulatory networks, a stable configuration can represent the evolutionary behavior of cell death or unregulated growth in genes. We present analytical investigations on output feedback stabilizer design of Boolean networks (BNs) to achieve global stabilization via the semi-tensor product method. Based on network structure information describing coupling connections among nodes, an output feedback stabilizer is designed to achieve global stabilization. Compared with the traditional pinning control design, the output feedback stabilizer design is not based on the state transition matrix of BNs, which can efficiently determine pinning control nodes and reduce computational complexity. Our proposed method is efficient in that the calculation of the state transition matrix with dimension 2n × 2n is avoided; here n is the number of nodes in a BN. Finally, a signal transduction network and a D. melanogaster segmentation polarity gene network are presented to show the efficiency of the proposed method. Results are shown to be simple and concise, compared with traditional pinning control for BNs.
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Jie ZHONG, Bo-wen LI, Yang LIU, and Wei-hua GUI declare that they have no conflict of interest.
Project supported by the National Natural Science Foundation of China (Nos. 61903339, 61321003, and 11671361) and the Zhejiang Provincial Natural Science Foundation of China (No. LD19A010001)
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Zhong, J., Li, Bw., Liu, Y. et al. Output feedback stabilizer design of Boolean networks based on network structure. Front Inform Technol Electron Eng 21, 247–259 (2020). https://doi.org/10.1631/FITEE.1900229
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DOI: https://doi.org/10.1631/FITEE.1900229