Survey on Near-Critical Analysis and Control of Complex Systems

LI Li, JI Pengcheng, GONG Wei, ZHAO Hui, XU Jia, YU Qingyun

1. College of Electronic and Information Engineering, Tongji University, Shanghai 201804
• Received:2021-12-14 Revised:2022-02-22 Online:2022-06-25 Published:2022-07-29

LI Li, JI Pengcheng, GONG Wei, ZHAO Hui, XU Jia, YU Qingyun. Survey on Near-Critical Analysis and Control of Complex Systems[J]. Journal of Systems Science and Mathematical Sciences, 2022, 42(6): 1423-1437.

Recently, complex system's near-critical state has received extensive attention of scholars in many fields. The near-critical state is the complex system's state near the point of continuous phase transition. A complex system in the near-critical state often has the characteristics of robustness and flexibility, emerging positive new features. It may also suffer system-level large-scale disasters under external disturbances. This paper takes the near-critical state of complex systems as the research object. It firstly describes the near-critical state's properties and its influence on complex systems. Then, based on the current research, it analyzes the theories and methods related to the near-critical state's modeling, prediction and regulations in detail. In terms of modeling, cellular automata, network theory and related calculations, percolation models, long transients, and random noise are mainly discussed. As for prediction, prediction methods based on time series and machine learning are elaborated. In aspect of regulation, the control theory and method based on noise and parameters are emphatically analyzed. At last, it makes conclusions and provides prospects of the near-critical state's future studies.

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