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Event-Triggered Control for the Stabilization of Probabilistic Boolean Control Networks

Author

Listed:
  • Shiyong Zhu
  • Jungang Lou
  • Yang Liu
  • Yuanyuan Li
  • Zhen Wang

Abstract

This paper realizes global stabilization for probabilistic Boolean control networks (PBCNs) with event-triggered state feedback control (ETSFC). Via the semitensor product (STP) of matrices, PBCNs with ETSFC are converted into discrete-time algebraic systems, based on which a necessary and sufficient condition is derived for global stabilization of PBCNs. Furthermore, an algorithm is presented to design a class of feasible event-triggered state feedback controllers for global stabilization. Finally, an illustrative example shows the effectiveness of the obtained result.

Suggested Citation

  • Shiyong Zhu & Jungang Lou & Yang Liu & Yuanyuan Li & Zhen Wang, 2018. "Event-Triggered Control for the Stabilization of Probabilistic Boolean Control Networks," Complexity, Hindawi, vol. 2018, pages 1-7, September.
    • Handle: RePEc:hin:complx:9259348
    DOI: 10.1155/2018/9259348
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    Cited by:

    1. Xiu-Zhen Xu & Yi-Feng Niu & Qing Li, 2019. "Efficient Enumeration of - Minimal Paths in Reliability Evaluation of Multistate Networks," Complexity, Hindawi, vol. 2019, pages 1-10, March.
    2. Xiangshan Kong & Qilong Sun & Haitao Li, 2022. "Survey on Mathematical Models and Methods of Complex Logical Dynamical Systems," Mathematics, MDPI, vol. 10(20), pages 1-17, October.
    3. Fei Wang & Zhaowen Zheng & Yongqing Yang, 2019. "Synchronization of Complex Dynamical Networks with Hybrid Time Delay under Event-Triggered Control: The Threshold Function Method," Complexity, Hindawi, vol. 2019, pages 1-17, December.
    4. Haiyan Wang & Qiuzhen Lin & Jianyong Chen & Jianqiang Li & Jianghua Zhong & Dongdai Lin & Jia Wang & Lijia Ma, 2019. "On Stability of Multi-Valued Nonlinear Feedback Shift Registers," Complexity, Hindawi, vol. 2019, pages 1-11, February.

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