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

被引:0
|
作者
SHI Shengnan [1 ]
XU Yong [2 ]
机构
[1] School of Economics and Management, Hebei University of Technology
[2] School of Science, Hebei University of Technology
基金
中国国家自然科学基金;
关键词
D O I
暂无
中图分类号
O231 [控制论(控制论的数学理论)];
学科分类号
070105 ; 0711 ; 071101 ; 0811 ; 081101 ;
摘要
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.
引用
收藏
页码:2182 / 2194
页数:13
相关论文
共 50 条
  • [1] Set Stability of Probabilistic Time-Delay Boolean Networks with Impulsive Effect
    Shengnan Shi
    Yong Xu
    Journal of Systems Science and Complexity, 2021, 34 : 2182 - 2194
  • [2] Set Stability of Probabilistic Time-Delay Boolean Networks with Impulsive Effect
    Shi Shengnan
    Xu Yong
    JOURNAL OF SYSTEMS SCIENCE & COMPLEXITY, 2021, 34 (06) : 2182 - 2194
  • [3] Set stability and synchronization of generalized asynchronous probabilistic Boolean networks with impulsive effects
    Liu, Fukun
    Sun, Yujie
    Zhang, Chuan
    Xu, Lunshi
    Zhang, Hao
    PLOS ONE, 2025, 20 (02):
  • [4] On Stabilizability of Time-Delay Boolean Networks
    Wang, Biao
    Feng, Jun-e
    Yu, Yongyuan
    Gao, Yan
    2018 37TH CHINESE CONTROL CONFERENCE (CCC), 2018, : 6277 - 6282
  • [5] Delay parameter identification for time-delay Boolean networks and Boolean control networks
    Mu, Tiantian
    Wang, Biao
    Feng, Jun-E
    2022 41ST CHINESE CONTROL CONFERENCE (CCC), 2022, : 1360 - 1365
  • [6] Stability and Set Stability in Distribution of Probabilistic Boolean Networks
    Guo, Yuqian
    Zhou, Rongpei
    Wu, Yuhu
    Gui, Weihua
    Yang, Chunhua
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2019, 64 (02) : 736 - 742
  • [7] Finite-Time Controllability and Set Controllability of Impulsive Probabilistic Boolean Control Networks
    Wang, Jing
    Liu, Yansheng
    Li, Haitao
    IEEE ACCESS, 2020, 8 : 111995 - 112002
  • [8] Set stabilizability of impulsive probabilistic Boolean networks via impulsive sequence design
    Yang, Xinrong
    Sun, Qilong
    Li, Haitao
    Kong, Xiangshan
    APPLIED MATHEMATICS AND COMPUTATION, 2023, 449
  • [9] Exponential stability of impulsive CNNs with time-delay
    Wang, Hui
    Zou, Jin
    Yang, Degang
    PROCEEDINGS OF THE 2007 CONFERENCE ON SYSTEMS SCIENCE, MANAGEMENT SCIENCE AND SYSTEM DYNAMICS: SUSTAINABLE DEVELOPMENT AND COMPLEX SYSTEMS, VOLS 1-10, 2007, : 2055 - 2060
  • [10] On robust set stability and set stabilization of probabilistic Boolean control networks *
    Wang, Jianjun
    Liu, Wen
    Fu, Shihua
    Xia, Jianwei
    APPLIED MATHEMATICS AND COMPUTATION, 2022, 422