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AIMS Mathematics

2022, Volume 7, Issue 6: 9668-9682. doi: 10.3934/math.2022538
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Trajectory tracking approach to logical (control) networks

  • 1.
    School of Mathematics, Shandong University, Jinan, Shandong 250100, China
  • 2.
    Research Center for Mathematics and Interdisciplinary Sciences, Shandong University, Qingdao 266237, China
  • 3.
    Research Center of Semi-tensor Product of Matrices: Theory and Applications, Liaocheng University, Liaocheng 252000, China
  • 4.
    School of Mathematical Science, Liaocheng University, Liaocheng 252000, China
  • Received: 23 December 2021 Revised: 23 February 2022 Accepted: 01 March 2022 Published: 15 March 2022

  • MSC : 93-XX

  • Vector form expression of logical (control) networks is presented. From this aspect, the trajectory table is proposed to investigate Boolean networks. Based on it, the topology structure, controllability and observability of logical (control) networks are analyzed. Compared to the method of logical matrix, vector form expression called structure vector method decreases the computational complex. Numerical examples show that the complexity of the structure vector method is greatly reduced.

    Citation: Xiaoyu Zhao, Shihua Fu. Trajectory tracking approach to logical (control) networks[J]. AIMS Mathematics, 2022, 7(6): 9668-9682. doi: 10.3934/math.2022538

    Related Papers:

  • Vector form expression of logical (control) networks is presented. From this aspect, the trajectory table is proposed to investigate Boolean networks. Based on it, the topology structure, controllability and observability of logical (control) networks are analyzed. Compared to the method of logical matrix, vector form expression called structure vector method decreases the computational complex. Numerical examples show that the complexity of the structure vector method is greatly reduced.


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