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Set Stability of Probabilistic Time-Delay Boolean Networks with Impulsive Effect

SHI Shengnan · XU Yong   

  1. SHI Shengnan
    School of Economics and Management, Hebei University of Technology, Tianjin 300401, China.
    Email: shishengnan1995@163.com.
    XU Yong
    School of Science, Hebei University of Technology, Tianjin 300401, China.
  • Online:2021-12-25 Published:2021-12-25

SHI Shengnan · XU Yong. Set Stability of Probabilistic Time-Delay Boolean Networks with Impulsive Effect[J]. Journal of Systems Science and Complexity, 2021, 34(6): 2182-2194.

This paper investigates the set stability of probabilistic time-delay Boolean networks (PTDBN) with impulsive effect. Firstly, using the algebraic state space representation, an equivalent stochastic system is established for PTDBN with impulsive effect. Then, based on the probabilistic state transition matrix, a necessary and sufficient condition is presented for the set stability of PTDBN with impulsive effect. Finally, the obtained new result is applied to the networked evolutionary game with memories.
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