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

SHI Shengnan · XU Yong

系统科学与复杂性(英文) ›› 2021, Vol. 34 ›› Issue (6) : 2182-2194.

PDF(206 KB)
PDF(206 KB)
系统科学与复杂性(英文) ›› 2021, Vol. 34 ›› Issue (6) : 2182-2194. DOI: 10.1007/s11424-021-9326-x

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

    SHI Shengnan · XU Yong
作者信息 +

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

    SHI Shengnan · XU Yong
Author information +
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Abstract

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.

Key words

Boolean networks, impulsive effect, networked evolutionary game, set stability.

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SHI Shengnan · XU Yong. Set Stability of Probabilistic Time-Delay Boolean Networks with Impulsive Effect. 系统科学与复杂性(英文), 2021, 34(6): 2182-2194 https://doi.org/10.1007/s11424-021-9326-x
SHI Shengnan · XU Yong. Set Stability of Probabilistic Time-Delay Boolean Networks with Impulsive Effect. Journal of Systems Science and Complexity, 2021, 34(6): 2182-2194 https://doi.org/10.1007/s11424-021-9326-x
PDF(206 KB)

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